McVittie-Plummer Spacetime: Plummer Sphere Immersed in the FLRW Universe

Fuente: arXiv
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Autores principales: Tabatabaei, Javad, Baghram, Shant, Mashhoon, Bahram
Formato: Preprint
Publicado: 2024
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author Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
author_facet Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
contents The McVittie-Plummer spacetime is a spherically symmetric inhomogeneous cosmological model that represents a spherical star system embedded in a standard FLRW cosmological model. We study the main physical properties of this gravitational field. Regarding the interplay between the physics of the local system and the expanding background, we employ the Misner-Sharp mass-energy function to show that there is a relatively weak time-dependent general relativistic coupling between the astrophysical system and the background FLRW cosmological model. The coupling term is proportional to the inverse of the scale factor and decreases as the universe expands.
format Preprint
id arxiv_https___arxiv_org_abs_2406_10990
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle McVittie-Plummer Spacetime: Plummer Sphere Immersed in the FLRW Universe
Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
The McVittie-Plummer spacetime is a spherically symmetric inhomogeneous cosmological model that represents a spherical star system embedded in a standard FLRW cosmological model. We study the main physical properties of this gravitational field. Regarding the interplay between the physics of the local system and the expanding background, we employ the Misner-Sharp mass-energy function to show that there is a relatively weak time-dependent general relativistic coupling between the astrophysical system and the background FLRW cosmological model. The coupling term is proportional to the inverse of the scale factor and decreases as the universe expands.
title McVittie-Plummer Spacetime: Plummer Sphere Immersed in the FLRW Universe
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2406.10990