Holographic c-theorem and Born-Infeld gravity theories

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Alkac G., TEKİN B.

PHYSICAL REVIEW D, vol.98, no.4, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 98 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.1103/physrevd.98.046013
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe University Affiliated: No


The requirement of the existence of a holographic c-function for higher derivative theories is a very restrictive one, and hence most theories do not possess this property. Here, we show that, when some of the parameters are fixed, the D >= 3 Born-Infeld gravity theories admit a holographic c-function. We work out the details of the D = 3 theory with no free parameters, which is a nonminimal Born-Infeld type extension of new massive gravity. Moreover, we show that these theories generate an infinite number of higher derivative models admitting a c-function in a suitable expansion, and therefore they can be studied at any truncated order.