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Title: Cosmological dynamics of brane f(R) gravity

Abstract

The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the Z{sub 2} symmetry and Israel junction conditions are relaxed. The corresponding cosmological solutions for some specific forms of f(R) are obtained and shown to be in the form of exponential as well as power law for a vacuum brane space-time. It is shown that the existence of matter dominated epoch for a bulk action in the form of a power law for R can only be obtained in the presence of ordinary matter. Using phase space analysis, we show that the universe must start from an unstable matter dominated epoch and eventually falls into a stable accelerated expanding phase.

Authors:
; ;  [1]
  1. Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22280063
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2012; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; BRANES; COSMOLOGY; GRAVITATION; INFLATIONARY UNIVERSE; MATHEMATICAL SOLUTIONS; PHASE SPACE; SCALARS; SPACE-TIME; SYMMETRY; UNIVERSE

Citation Formats

Haghani, Zahra, Sepangi, Hamid Reza, and Shahidi, Shahab. Cosmological dynamics of brane f(R) gravity. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/02/031.
Haghani, Zahra, Sepangi, Hamid Reza, & Shahidi, Shahab. Cosmological dynamics of brane f(R) gravity. United States. https://doi.org/10.1088/1475-7516/2012/02/031
Haghani, Zahra, Sepangi, Hamid Reza, and Shahidi, Shahab. 2012. "Cosmological dynamics of brane f(R) gravity". United States. https://doi.org/10.1088/1475-7516/2012/02/031.
@article{osti_22280063,
title = {Cosmological dynamics of brane f(R) gravity},
author = {Haghani, Zahra and Sepangi, Hamid Reza and Shahidi, Shahab},
abstractNote = {The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the Z{sub 2} symmetry and Israel junction conditions are relaxed. The corresponding cosmological solutions for some specific forms of f(R) are obtained and shown to be in the form of exponential as well as power law for a vacuum brane space-time. It is shown that the existence of matter dominated epoch for a bulk action in the form of a power law for R can only be obtained in the presence of ordinary matter. Using phase space analysis, we show that the universe must start from an unstable matter dominated epoch and eventually falls into a stable accelerated expanding phase.},
doi = {10.1088/1475-7516/2012/02/031},
url = {https://www.osti.gov/biblio/22280063}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 02,
volume = 2012,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2012},
month = {Wed Feb 01 00:00:00 EST 2012}
}