�ݺ�ߣshows by User: MaximEingorn

�ݺ�ߣshows by User: MaximEingorn / http://www.slideshare.net/images/logo.gif �ݺ�ߣshows by User: MaximEingorn / Wed, 13 May 2020 19:45:29 GMT �ݺ�ߣShare feed for �ݺ�ߣshows by User: MaximEingorn Duel of cosmological screening lengths /slideshow/duel-of-cosmological-screening-lengths/233848514 duelpduslideshare-200513194529
E. Canay and M. Eingorn Physics of the Dark Universe 29 (2020) 100565 DOI: 10.1016/j.dark.2020.100565 https://authors.elsevier.com/a/1aydL7t6qq5DB0 https://arxiv.org/abs/2002.00437 Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the ΛCDM Universe. We compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe.]]>
E. Canay and M. Eingorn Physics of the Dark Universe 29 (2020) 100565 DOI: 10.1016/j.dark.2020.100565 https://authors.elsevier.com/a/1aydL7t6qq5DB0 https://arxiv.org/abs/2002.00437 Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the ΛCDM Universe. We compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe.]]> Wed, 13 May 2020 19:45:29 GMT /slideshow/duel-of-cosmological-screening-lengths/233848514 MaximEingorn@slideshare.net(MaximEingorn) Duel of cosmological screening lengths MaximEingorn E. Canay and M. Eingorn Physics of the Dark Universe 29 (2020) 100565 DOI: 10.1016/j.dark.2020.100565 https://authors.elsevier.com/a/1aydL7t6qq5DB0 https://arxiv.org/abs/2002.00437 Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the ΛCDM Universe. We compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/duelpduslideshare-200513194529-thumbnail.jpg?width=120&height=120&fit=bounds" /><br> E. Canay and M. Eingorn Physics of the Dark Universe 29 (2020) 100565 DOI: 10.1016/j.dark.2020.100565 https://authors.elsevier.com/a/1aydL7t6qq5DB0 https://arxiv.org/abs/2002.00437 Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the ΛCDM Universe. We compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe.

Duel of cosmological screening lengths from Maxim Eingorn

]]> 535 0 https://cdn.slidesharecdn.com/ss_thumbnails/duelpduslideshare-200513194529-thumbnail.jpg?width=120&height=120&fit=bounds presentation White http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 Second-order Cosmological Perturbations Engendered by Point-like Masses /slideshow/secondorder-cosmological-perturbations-engendered-by-pointlike-masses/79617556 brilenkoveingornsecond-order-170911014450
R. Brilenkov and M. Eingorn, Second-order cosmological perturbations engendered by point-like masses, ApJ 845 (2017) 153: http://iopscience.iop.org/article/10.3847/1538-4357/aa81cd In the ΛCDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second‐order cosmological perturbation theory. Our approach relies on the weak gravitational field limit. The derived equations for the second‐order scalar, vector, and tensor metric corrections are suitable at arbitrary distances, including regions with nonlinear contrasts of the matter density. We thoroughly verify fulfillment of all Einstein equations, as well as self‐consistency of order assignments. In addition, we achieve logical positive results in the Minkowski background limit. Feasible investigations of the cosmological backreaction manifestations by means of relativistic simulations are also outlined.]]>
R. Brilenkov and M. Eingorn, Second-order cosmological perturbations engendered by point-like masses, ApJ 845 (2017) 153: http://iopscience.iop.org/article/10.3847/1538-4357/aa81cd In the ΛCDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second‐order cosmological perturbation theory. Our approach relies on the weak gravitational field limit. The derived equations for the second‐order scalar, vector, and tensor metric corrections are suitable at arbitrary distances, including regions with nonlinear contrasts of the matter density. We thoroughly verify fulfillment of all Einstein equations, as well as self‐consistency of order assignments. In addition, we achieve logical positive results in the Minkowski background limit. Feasible investigations of the cosmological backreaction manifestations by means of relativistic simulations are also outlined.]]> Mon, 11 Sep 2017 01:44:50 GMT /slideshow/secondorder-cosmological-perturbations-engendered-by-pointlike-masses/79617556 MaximEingorn@slideshare.net(MaximEingorn) Second-order Cosmological Perturbations Engendered by Point-like Masses MaximEingorn R. Brilenkov and M. Eingorn, Second-order cosmological perturbations engendered by point-like masses, ApJ 845 (2017) 153: http://iopscience.iop.org/article/10.3847/1538-4357/aa81cd In the ΛCDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second‐order cosmological perturbation theory. Our approach relies on the weak gravitational field limit. The derived equations for the second‐order scalar, vector, and tensor metric corrections are suitable at arbitrary distances, including regions with nonlinear contrasts of the matter density. We thoroughly verify fulfillment of all Einstein equations, as well as self‐consistency of order assignments. In addition, we achieve logical positive results in the Minkowski background limit. Feasible investigations of the cosmological backreaction manifestations by means of relativistic simulations are also outlined. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/brilenkoveingornsecond-order-170911014450-thumbnail.jpg?width=120&height=120&fit=bounds" /><br> R. Brilenkov and M. Eingorn, Second-order cosmological perturbations engendered by point-like masses, ApJ 845 (2017) 153: http://iopscience.iop.org/article/10.3847/1538-4357/aa81cd In the ΛCDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second‐order cosmological perturbation theory. Our approach relies on the weak gravitational field limit. The derived equations for the second‐order scalar, vector, and tensor metric corrections are suitable at arbitrary distances, including regions with nonlinear contrasts of the matter density. We thoroughly verify fulfillment of all Einstein equations, as well as self‐consistency of order assignments. In addition, we achieve logical positive results in the Minkowski background limit. Feasible investigations of the cosmological backreaction manifestations by means of relativistic simulations are also outlined.

Second-order Cosmological Perturbations Engendered by Point-like Masses from Maxim Eingorn

]]> 866 4 https://cdn.slidesharecdn.com/ss_thumbnails/brilenkoveingornsecond-order-170911014450-thumbnail.jpg?width=120&height=120&fit=bounds presentation White http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 ALL-SCALE cosmological perturbations and SCREENING OF GRAVITY in inhomogeneous Universe /MaximEingorn/allscale-cosmological-perturbations-and-screening-of-gravity-in-inhomogeneous-universe eingorngermany2016-160817160133
M. Eingorn, First-order cosmological perturbations engendered by point-like masses, ApJ 825 (2016) 84: http://iopscience.iop.org/article/10.3847/0004-637X/825/2/84 In the framework of the concordance cosmological model, the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The expressions found for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at the locations of the sources. The average values of these metric corrections are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant, this part represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggested connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.]]>
M. Eingorn, First-order cosmological perturbations engendered by point-like masses, ApJ 825 (2016) 84: http://iopscience.iop.org/article/10.3847/0004-637X/825/2/84 In the framework of the concordance cosmological model, the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The expressions found for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at the locations of the sources. The average values of these metric corrections are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant, this part represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggested connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.]]> Wed, 17 Aug 2016 16:01:33 GMT /MaximEingorn/allscale-cosmological-perturbations-and-screening-of-gravity-in-inhomogeneous-universe MaximEingorn@slideshare.net(MaximEingorn) ALL-SCALE cosmological perturbations and SCREENING OF GRAVITY in inhomogeneous Universe MaximEingorn M. Eingorn, First-order cosmological perturbations engendered by point-like masses, ApJ 825 (2016) 84: http://iopscience.iop.org/article/10.3847/0004-637X/825/2/84 In the framework of the concordance cosmological model, the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The expressions found for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at the locations of the sources. The average values of these metric corrections are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant, this part represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggested connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/eingorngermany2016-160817160133-thumbnail.jpg?width=120&height=120&fit=bounds" /><br> M. Eingorn, First-order cosmological perturbations engendered by point-like masses, ApJ 825 (2016) 84: http://iopscience.iop.org/article/10.3847/0004-637X/825/2/84 In the framework of the concordance cosmological model, the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The expressions found for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at the locations of the sources. The average values of these metric corrections are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant, this part represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggested connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.

ALL-SCALE cosmological perturbations and SCREENING OF GRAVITY in inhomogeneous Universe from Maxim Eingorn

]]> 679 3 https://cdn.slidesharecdn.com/ss_thumbnails/eingorngermany2016-160817160133-thumbnail.jpg?width=120&height=120&fit=bounds presentation White http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 First-order cosmological perturbations produced by point-like masses: all scales covered /slideshow/firstorder-cosmological-perturbations-produced-by-pointlike-masses-all-scales-covered/55162292 eingorntufts2015slideshare-151116143708-lva1-app6891
This presentation based on the paper http://arxiv.org/abs/1509.03835 was made at Institute of Cosmology, Tufts University, on November 12, 2015. The abstract follows: In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived without any supplementary approximations in addition to the weak gravitational field limit. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The obtained expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge in all points except the locations of the sources, and their average values are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant it represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggesting itself connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.]]>
This presentation based on the paper http://arxiv.org/abs/1509.03835 was made at Institute of Cosmology, Tufts University, on November 12, 2015. The abstract follows: In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived without any supplementary approximations in addition to the weak gravitational field limit. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The obtained expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge in all points except the locations of the sources, and their average values are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant it represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggesting itself connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.]]> Mon, 16 Nov 2015 14:37:08 GMT /slideshow/firstorder-cosmological-perturbations-produced-by-pointlike-masses-all-scales-covered/55162292 MaximEingorn@slideshare.net(MaximEingorn) First-order cosmological perturbations produced by point-like masses: all scales covered MaximEingorn This presentation based on the paper http://arxiv.org/abs/1509.03835 was made at Institute of Cosmology, Tufts University, on November 12, 2015. The abstract follows: In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived without any supplementary approximations in addition to the weak gravitational field limit. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The obtained expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge in all points except the locations of the sources, and their average values are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant it represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggesting itself connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/eingorntufts2015slideshare-151116143708-lva1-app6891-thumbnail.jpg?width=120&height=120&fit=bounds" /><br> This presentation based on the paper http://arxiv.org/abs/1509.03835 was made at Institute of Cosmology, Tufts University, on November 12, 2015. The abstract follows: In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived without any supplementary approximations in addition to the weak gravitational field limit. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The obtained expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge in all points except the locations of the sources, and their average values are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant it represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggesting itself connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.

First-order cosmological perturbations produced by point-like masses: all scales covered from Maxim Eingorn

]]> 1509 8 https://cdn.slidesharecdn.com/ss_thumbnails/eingorntufts2015slideshare-151116143708-lva1-app6891-thumbnail.jpg?width=120&height=120&fit=bounds presentation White http://activitystrea.ms/schema/1.0/post

http://activitystrea.ms/schema/1.0/posted

0 https://cdn.slidesharecdn.com/profile-photo-MaximEingorn-48x48.jpg?cb=1590416154 https://cdn.slidesharecdn.com/ss_thumbnails/duelpduslideshare-200513194529-thumbnail.jpg?width=320&height=320&fit=bounds slideshow/duel-of-cosmological-screening-lengths/233848514 Duel of cosmological s... https://cdn.slidesharecdn.com/ss_thumbnails/brilenkoveingornsecond-order-170911014450-thumbnail.jpg?width=320&height=320&fit=bounds slideshow/secondorder-cosmological-perturbations-engendered-by-pointlike-masses/79617556 Second-order Cosmologi... https://cdn.slidesharecdn.com/ss_thumbnails/eingorngermany2016-160817160133-thumbnail.jpg?width=320&height=320&fit=bounds MaximEingorn/allscale-cosmological-perturbations-and-screening-of-gravity-in-inhomogeneous-universe ALL-SCALE cosmological...