Brane f(R) gravity cosmologies

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.123527· OSTI ID:21408060

Balcerzak, Adam; DaPbrowski, Mariusz P ^[1]

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1. Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin (Poland)

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.

• OSTI ID: 21408060
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.123527; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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