Black Holes in Quasi-topological Gravity

TL;DR

This paper introduces a new cubic curvature gravity model suitable for holographic studies of conformal field theories and analyzes its black hole solutions and linearized graviton equations.

Contribution

It constructs a novel quasi-topological gravity action with cubic curvature terms and demonstrates that linearized graviton equations match Einstein gravity in AdS backgrounds.

Findings

New cubic curvature gravity action developed

Black hole solutions analyzed within the new theory

Linearized graviton equations match Einstein gravity in AdS

Abstract

We construct a new gravitational action which includes cubic curvature interactions and which provides a useful toy model for the holographic study of a three parameter family of four- and higher-dimensional CFT's. We also investigate the black hole solutions of this new gravity theory. Further we examine the equations of motion of quasi-topological gravity. While the full equations in a general background are fourth-order in derivatives, we show that the linearized equations describing gravitons propagating in the AdS vacua match precisely the second-order equations of Einstein gravity.