Ghost-free higher derivative unimodular gravity

TL;DR

This paper derives a ghost-free higher derivative gravity theory within the unimodular framework by reducing specific quadratic curvature Lagrangians, contributing to consistent quantum gravity models.

Contribution

It introduces a novel unimodular version of higher derivative gravity that remains ghost-free, expanding the landscape of consistent gravitational theories.

Findings

Successfully constructs a ghost-free unimodular higher derivative gravity

Provides a specific reduction of quadratic curvature Lagrangians

Lays groundwork for further quantum gravity research

Abstract

The unimodular version of the ghost-free higher derivative gravity is obtained. It is the unimodular reduction of some particular lagrangians quadratic in curvature.