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c-functions in the Born-Infeld extended new massive gravity

Gullu, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
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.