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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Main Authors: Masoud Molaei, Shant Baghram, Bahram Mashhoon
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
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.
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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
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AT shantbaghram localpeculiarmotionsinmcvittieandltbspacetimes
AT bahrammashhoon localpeculiarmotionsinmcvittieandltbspacetimes