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

## TL;DR

This paper explores Ricci Cubic Gravity in various dimensions, analyzing graviton modes and black hole solutions using linearized equations and auxiliary fields, and computes their masses via boundary stress tensors.

## Contribution

It introduces a detailed study of Ricci Cubic Gravity, employing two approaches to analyze graviton modes and black hole masses in higher dimensions.

## Key findings

- Identification of massive and massless graviton modes in RCG.
- Calculation of black hole masses using boundary stress tensor.
- Insights into the structure of higher curvature gravity theories.

## 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.