Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Abstract

A special class of higher curvature theories of gravity, Ricci Cubic Gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and auxiliary field formalism to study the massive and massless graviton propagating modes of the AdS background. Using the auxiliary field formalism, we have found the renormalized boundary stress tensor to compute the mass of Schwarzschild AdS and Lifshitz black holes in RCG theory.

35 pages. Published version

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Cited by in corpus (10)

• (Generalized) quasi-topological gravities at all orders
• All higher-curvature gravities as Generalized quasi-topological gravities
• Conserved Charges in Extended Theories of Gravity
• Generalized Pure Lovelock Gravity
• Dark effects in $f(R,P)$ gravity
• Holographic complexity in general quadratic curvature theory of gravity
• A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity
• Higher order curvature corrections and holographic renormalization group flow
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• The mass of a Lifshitz black hole