# Generalized quasi-topological gravity

## TL;DR

This paper develops a comprehensive cubic-order curvature gravity theory that generalizes existing models, maintains Einstein gravity limits, admits Schwarzschild-like solutions, and aligns with known theories like Lovelock and Einsteinian cubic gravity.

## Contribution

It introduces the most general cubic curvature gravity theory with specific properties, unifying and extending previous models while preserving key physical features.

## Key findings

- The theory admits Schwarzschild-like solutions.
- It reduces to Einstein gravity in a limit.
- Black hole thermodynamics are analyzed.

## Abstract

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable properties: i) it has a well-defined Einstein gravity limit ii) it admits `Schwarzschild-like' solutions characterized by a single metric function iii) on maximally symmetric backgrounds it propagates the same degrees of freedom as Einstein's gravity iv) Lovelock and quasi-topological gravities, as well as the recently developed Einsteinian cubic gravity [ArXiv:1607.06463] in four dimensions, are recovered as special cases. We perform a brief analysis of asymptotically flat black holes in this theory and study their thermodynamics.