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Title: Brane f(R) gravity cosmologies

Abstract

By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order f(R) brane gravity and study their cosmological solutions. We show that there exists a nonstatic solution which describes a four-dimensional de Sitter (dS{sub 4}) brane embedded in a five-dimensional anti-de Sitter (AdS{sub 5}) bulk for a vanishing Weyl tensor contribution. On the other hand, for the case of a nonvanishing Weyl tensor contribution, there exists a static brane solution only. We claim that in order to get some more general nonstatic f(R) brane configurations, one needs to admit a dynamical matter energy-momentum tensor in the bulk rather than just a bulk cosmological constant.

Authors:
;  [1]
  1. Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin (Poland)
Publication Date:
OSTI Identifier:
21408060
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 81; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.81.123527; (c) 2010 The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER SPACE; CONFIGURATION; COSMOLOGICAL CONSTANT; COSMOLOGICAL MODELS; COSMOLOGY; DE SITTER SPACE; ENERGY-MOMENTUM TENSOR; EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MATTER; MATHEMATICAL MODELS; MATHEMATICAL SPACE; SPACE; TENSORS

Citation Formats

Balcerzak, Adam, and DaPbrowski, Mariusz P. Brane f(R) gravity cosmologies. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.123527.
Balcerzak, Adam, & DaPbrowski, Mariusz P. Brane f(R) gravity cosmologies. United States. doi:10.1103/PHYSREVD.81.123527.
Balcerzak, Adam, and DaPbrowski, Mariusz P. Tue . "Brane f(R) gravity cosmologies". United States. doi:10.1103/PHYSREVD.81.123527.
@article{osti_21408060,
title = {Brane f(R) gravity cosmologies},
author = {Balcerzak, Adam and DaPbrowski, Mariusz P.},
abstractNote = {By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order f(R) brane gravity and study their cosmological solutions. We show that there exists a nonstatic solution which describes a four-dimensional de Sitter (dS{sub 4}) brane embedded in a five-dimensional anti-de Sitter (AdS{sub 5}) bulk for a vanishing Weyl tensor contribution. On the other hand, for the case of a nonvanishing Weyl tensor contribution, there exists a static brane solution only. We claim that in order to get some more general nonstatic f(R) brane configurations, one needs to admit a dynamical matter energy-momentum tensor in the bulk rather than just a bulk cosmological constant.},
doi = {10.1103/PHYSREVD.81.123527},
journal = {Physical Review. D, Particles Fields},
number = 12,
volume = 81,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}