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arXiv · 1805.07963

Holographic c-theorem and Born-Infeld Gravity Theories

Gokhan Alkac·Bayram Tekin
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Abstract

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 $D\geq3$ 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 non-minimal 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.

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Gokhan Alkac, Bayram Tekin. 2018-05-21. Holographic c-theorem and Born-Infeld Gravity Theories. https://doi.org/10.1103/physrevd.98.046013

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