Analytic Solutions of Brane in Critical Gravity

Details Analytic Solutions of Brane in Critical Gravity Analytic Solutions of Brane in Critical Gravity

2012-01-28

arxiv.org/abs/1201.5922v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures

Scientific paper

Recently, H. Lu and C.N Pope et al proposed critical gravities (quadratic-curvature actions with cosmological constant) in four and higher dimensions. At the critical point, these theories possess such an AdS vacuum, for which there is only massless tensor, and the linearized excitations have vanishing energy. In this paper we construct analytic braneworld solutions in critical gravities with matter in diverse dimensions. Both thin and thick branes with co-dimension one are considered. It is found that at the critical point the equations of motion (EOMs) are second-order, and the thin and thick brane solutions are obtained. The curvature-squared modifications in the four-dimensional critical gravity do not affect the brane solutions, but they will do in higher dimensions. All these branes are embedded in higher-dimensional AdS spacetimes.

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