Holographic c-theorem and Born-Infeld gravity theories

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Alkac G. , TEKİN B.

PHYSICAL REVIEW D, cilt.98, sa.4, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1103/physrevd.98.046013


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.