Cosmological singularities in brane gravity

We present a comprehensive study of cosmological singularities within the framework of Covariant Extrinsic Gravity (CEG), addressing both the initial Big Bang singularity and potential finite-time future singularities. Through detailed analysis of the emergent universe scenario, we systematically ex...

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Main Authors: R. Jalalzadeh, S. Jalalzadeh, Y. Heydarzade
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325001543
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author R. Jalalzadeh
S. Jalalzadeh
Y. Heydarzade
author_facet R. Jalalzadeh
S. Jalalzadeh
Y. Heydarzade
author_sort R. Jalalzadeh
collection DOAJ
description We present a comprehensive study of cosmological singularities within the framework of Covariant Extrinsic Gravity (CEG), addressing both the initial Big Bang singularity and potential finite-time future singularities. Through detailed analysis of the emergent universe scenario, we systematically examine homogeneous and inhomogeneous perturbations (encompassing scalar, vector, and tensor modes) in a 4D FLRW brane geometry. Our work establishes rigorous existence criteria and stability conditions for a nonsingular Einstein static initial state, demonstrating that such a configuration remains stable for well-defined parameter ranges in CEG – thereby providing a compelling resolution to the long-standing initial singularity problem. Extending our analysis to late-time cosmology, we perform a complete classification of future singularity types following Barrow et al.'s formalism, deriving precise conditions that determine whether the universe in CEG evolves toward or avoids these singular states.
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spelling doaj-art-59bc10cbbfff465bae36ed05c340c94b2025-08-20T03:49:33ZengElsevierNuclear Physics B0550-32132025-08-01101711694510.1016/j.nuclphysb.2025.116945Cosmological singularities in brane gravityR. Jalalzadeh0S. Jalalzadeh1Y. Heydarzade2Department of Physics, University of Kurdistan, Pasdaran St., Sanandaj, IranDepartamento de Física, Universidade Federal de Pernambuco, Recife, 50670-901, PE, Brazil; Department of Physics, Dogus University, Dudullu-Ümraniye, Istanbul 34775, TurkeyDepartment of Mathematics, Faculty of Sciences, Bilkent University, Ankara, 06800, Turkey; Corresponding author.We present a comprehensive study of cosmological singularities within the framework of Covariant Extrinsic Gravity (CEG), addressing both the initial Big Bang singularity and potential finite-time future singularities. Through detailed analysis of the emergent universe scenario, we systematically examine homogeneous and inhomogeneous perturbations (encompassing scalar, vector, and tensor modes) in a 4D FLRW brane geometry. Our work establishes rigorous existence criteria and stability conditions for a nonsingular Einstein static initial state, demonstrating that such a configuration remains stable for well-defined parameter ranges in CEG – thereby providing a compelling resolution to the long-standing initial singularity problem. Extending our analysis to late-time cosmology, we perform a complete classification of future singularity types following Barrow et al.'s formalism, deriving precise conditions that determine whether the universe in CEG evolves toward or avoids these singular states.http://www.sciencedirect.com/science/article/pii/S0550321325001543
spellingShingle R. Jalalzadeh
S. Jalalzadeh
Y. Heydarzade
Cosmological singularities in brane gravity
Nuclear Physics B
title Cosmological singularities in brane gravity
title_full Cosmological singularities in brane gravity
title_fullStr Cosmological singularities in brane gravity
title_full_unstemmed Cosmological singularities in brane gravity
title_short Cosmological singularities in brane gravity
title_sort cosmological singularities in brane gravity
url http://www.sciencedirect.com/science/article/pii/S0550321325001543
work_keys_str_mv AT rjalalzadeh cosmologicalsingularitiesinbranegravity
AT sjalalzadeh cosmologicalsingularitiesinbranegravity
AT yheydarzade cosmologicalsingularitiesinbranegravity