# Mimetic Horava Gravity

## TL;DR

This paper demonstrates how mimetic gravity's scalar field can be used to formulate covariant models that reduce to Horava gravity in a specific gauge, providing a new perspective on diffeomorphism invariance and spatial tensor projection.

## Contribution

It introduces a method to construct diffeomorphism invariant models related to Horava gravity using mimetic gravity's scalar field without adding new degrees of freedom.

## Key findings

- Scalar field gradient defines a timelike vector for tensor projection
- Models are covariant and reduce to Horava gravity in the synchronous gauge
- No additional propagating degrees of freedom are introduced

## Abstract

We show that the scalar field of mimetic gravity could be used to construct diffeomorphism invariant models that reduce to Horava gravity in the synchronous gauge. The gradient of the mimetic field provides a timelike unit vector field that allows to define a projection operator of four-dimensional tensors to three-dimensional spatial tensors. Conversely, it also enables us to write quantities invariant under space diffeomorphisms in fully covariant form without the need to introduce new propagating degrees of freedom.