Local peculiar motions in McVittie and LTB spacetimes
Abstract We consider two inhomogeneous cosmological models, namely, the flat McVittie spacetime and a simple specific LTB spacetime. Relative to the world line of a reference comoving observer that remains spatially at rest, we study the local deviations of the world lines of free test particles. Th...
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SpringerOpen
2025-01-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-025-13777-y |
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author | Masoud Molaei Shant Baghram Bahram Mashhoon |
author_facet | Masoud Molaei Shant Baghram Bahram Mashhoon |
author_sort | Masoud Molaei |
collection | DOAJ |
description | Abstract We consider two inhomogeneous cosmological models, namely, the flat McVittie spacetime and a simple specific LTB spacetime. Relative to the world line of a reference comoving observer that remains spatially at rest, we study the local deviations of the world lines of free test particles. These local peculiar motions can be invariantly characterized within the framework of a quasi-inertial Fermi normal coordinate system established along the world line of the reference comoving observer. Tidal dynamics in the McVittie model involves the sum of the curvature due to the inhomogeneity, the curvature due to the background FLRW spacetime and a mixed term, while tidal dynamics in the particular LTB model turns out to be qualitatively the same as in the Einstein-de Sitter universe. Peculiar motions in the two cosmological models are briefly compared and contrasted. |
format | Article |
id | doaj-art-a72bd95f00464e088918342a24267706 |
institution | Kabale University |
issn | 1434-6052 |
language | English |
publishDate | 2025-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
spelling | doaj-art-a72bd95f00464e088918342a242677062025-01-26T12:49:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111510.1140/epjc/s10052-025-13777-yLocal peculiar motions in McVittie and LTB spacetimesMasoud Molaei0Shant Baghram1Bahram Mashhoon2Department of Physics, Sharif University of TechnologyDepartment of Physics, Sharif University of TechnologyDepartment of Physics, Sharif University of TechnologyAbstract We consider two inhomogeneous cosmological models, namely, the flat McVittie spacetime and a simple specific LTB spacetime. Relative to the world line of a reference comoving observer that remains spatially at rest, we study the local deviations of the world lines of free test particles. These local peculiar motions can be invariantly characterized within the framework of a quasi-inertial Fermi normal coordinate system established along the world line of the reference comoving observer. Tidal dynamics in the McVittie model involves the sum of the curvature due to the inhomogeneity, the curvature due to the background FLRW spacetime and a mixed term, while tidal dynamics in the particular LTB model turns out to be qualitatively the same as in the Einstein-de Sitter universe. Peculiar motions in the two cosmological models are briefly compared and contrasted.https://doi.org/10.1140/epjc/s10052-025-13777-y |
spellingShingle | Masoud Molaei Shant Baghram Bahram Mashhoon Local peculiar motions in McVittie and LTB spacetimes European Physical Journal C: Particles and Fields |
title | Local peculiar motions in McVittie and LTB spacetimes |
title_full | Local peculiar motions in McVittie and LTB spacetimes |
title_fullStr | Local peculiar motions in McVittie and LTB spacetimes |
title_full_unstemmed | Local peculiar motions in McVittie and LTB spacetimes |
title_short | Local peculiar motions in McVittie and LTB spacetimes |
title_sort | local peculiar motions in mcvittie and ltb spacetimes |
url | https://doi.org/10.1140/epjc/s10052-025-13777-y |
work_keys_str_mv | AT masoudmolaei localpeculiarmotionsinmcvittieandltbspacetimes AT shantbaghram localpeculiarmotionsinmcvittieandltbspacetimes AT bahrammashhoon localpeculiarmotionsinmcvittieandltbspacetimes |