c-functions in the Born-Infeld extended New Massive Gravity

Details c-functions in the Born-Infeld extended New Massive Gravity c-functions in the Born-Infeld extended New Massive Gravity

2010-05-18

arxiv.org/abs/1005.3214v3

Phys.Rev.D82:024032,2010

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 2 figures, reference added, typos corrected, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.82.024032

We derive and study the equations of motion of the Born-Infeld extension of New Massive Gravity for globally and asymptotically (anti-)de Sitter spaces, and show that the assumptions of the null-energy condition and holography (that bounds the c-function) lead to two simple c-functions one of which is equivalent to the c-function of Einstein's gravity. We also show that, at the fixed point, the c-function gives the central charge of the Virasoro algebra and the coefficient of the Weyl anomaly up to a constant.

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