Cosmology of unimodular Born-Infeld-$f(R)$ gravity

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Kibaroğlu, Salih, Odintsov, Sergei D., Paul, Tanmoy
Formato: Preprint
Publicado: 2024
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866916125941432320
author Kibaroğlu, Salih
Odintsov, Sergei D.
Paul, Tanmoy
author_facet Kibaroğlu, Salih
Odintsov, Sergei D.
Paul, Tanmoy
contents We propose a novel modified gravity: unimodular generalization of the Born-Infeld-$f(R)$ gravity within the framework of cosmology. After formulating the action corresponding to the generalized Born-Infeld-$f(R)$ gravity, we present a reconstruction scheme of this unimodular extension to achieve various cosmological eras of the universe. Interestingly, the unimodular generalization of Born-Infeld-$f(R)$ gravity proves to be suitable for inflation (de-Sitter and quasi de-Sitter) along with power law cosmology which actually includes from reheating to the Standard Big-Bang cosmology. Apart from the inflation, such generalized Born-Infeld-$f(R)$ theory is also capable to trigger non-singular bouncing cosmology for suitable forms of the unimodular Lagrange multiplier, which are exotic for the standard Einstein-Hilbert gravity and cannot be realized in that case. The possible consequences are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08951
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cosmology of unimodular Born-Infeld-$f(R)$ gravity
Kibaroğlu, Salih
Odintsov, Sergei D.
Paul, Tanmoy
General Relativity and Quantum Cosmology
We propose a novel modified gravity: unimodular generalization of the Born-Infeld-$f(R)$ gravity within the framework of cosmology. After formulating the action corresponding to the generalized Born-Infeld-$f(R)$ gravity, we present a reconstruction scheme of this unimodular extension to achieve various cosmological eras of the universe. Interestingly, the unimodular generalization of Born-Infeld-$f(R)$ gravity proves to be suitable for inflation (de-Sitter and quasi de-Sitter) along with power law cosmology which actually includes from reheating to the Standard Big-Bang cosmology. Apart from the inflation, such generalized Born-Infeld-$f(R)$ theory is also capable to trigger non-singular bouncing cosmology for suitable forms of the unimodular Lagrange multiplier, which are exotic for the standard Einstein-Hilbert gravity and cannot be realized in that case. The possible consequences are discussed.
title Cosmology of unimodular Born-Infeld-$f(R)$ gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.08951