c-functions in the Born-Infeld extended new massive gravity
PHYSICAL REVIEW D, vol.82, no.2, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 82 Issue: 2
- Publication Date: 2010
- Doi Number: 10.1103/physrevd.82.024032
- Journal Name: PHYSICAL REVIEW D
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
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.