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

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Gullu I., Sisman T. C. , TEKİN B.

PHYSICAL REVIEW D, vol.82, no.2, 2010 (Peer-Reviewed Journal) identifier identifier

  • 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, Scopus


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.