Some thick brane solutions in $f(R)$-gravity

Details Some thick brane solutions in $f(R)$-gravity Some thick brane solutions in $f(R)$-gravity

2009-12-15

arxiv.org/abs/0912.2812v2

JHEP 1004:130,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

final version

Scientific paper

10.1007/JHEP04(2010)130

The thick brane model is considered in $f(R)\sim R^n$ gravity. It is shown that regular asymptotically anti-de Sitter solutions exist in some range of values of the parameter $n$. A peculiar feature of this model is the existence of a fixed point in the phase plane where all solutions start, and the brane can be placed at this point. The presence of the fixed point allows to avoid fine tuning of the model parameters to obtain thick brane solutions.

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