Holographic c-theorem and Born-Infeld gravity theories

Alkaç, Gökhan
Tekin, Bayram
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.

Citation Formats
G. Alkaç and B. Tekin, “Holographic c-theorem and Born-Infeld gravity theories,” Physical Review D, vol. 98, no. 4, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52057.