Gauge Invariant Extension of Linearized Horava Gravity

TL;DR

This paper develops a gauge invariant extension of linearized Horava Gravity, demonstrating its relation to Einstein Gravity and providing a systematic Hamiltonian analysis without extra fields.

Contribution

It introduces a gauge invariant formulation of linearized Horava Gravity without additional fields, confirming its equivalence to gauge-fixed Einstein Gravity.

Findings

Proves the Bellorin-Restuccia conjecture.

Explicit Hamiltonian dynamics with Dirac brackets.

Framework applicable to non-linear Horava Gravity.

Abstract

In the present paper we have constructed a gauge invariant extension of a generic Horava Gravity (HG) model (with quadratic curvature terms) in linearized version in a systematic procedure. No additional fields are introduced. The linearized HG model is explicitly shown to be a gauge fixed version of the Einstein Gravity (EG) thus proving the Bellorin-Restuccia conjecture in a robust way. In the process we have explicitly computed the correct Hamiltonian dynamics using Dirac Brackets appearing from the Second Class Constraints present in the HG model. We comment on applying this scheme to the full non-linear HG.