Holographic c-theorem and Born-Infeld Gravity Theories

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 $D\ge 3$ 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 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.

arXiv comment18 pages, minor corrections, version accepted for publication in Physical Review D

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• Three Dimensional Modified Gravities as Holographic Limits of Lancsoz-Lovelock Theories
• New evidence and analysis of cosmological-scale asymmetry in galaxy spin directions
• 3D Lovelock Gravity and the Holographic c-Theorem
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity
• Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities
• $c$-functions in Higher-derivative Flows Across Dimensions
• Classical double copy in the black hole mini-superspace
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Instability of BTZ black holes in parity-even massive gravity
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Probing sine dilaton gravity with flow central charge
• Aspects of three-dimensional higher-curvature gravities