Disformal Transformations, Veiled General Relativity and Mimetic Gravity

TL;DR

This paper explores how Einstein's equations are invariant under disformal transformations, introduces mimetic gravity as a special case, and presents a generalized Schwarzschild solution within this framework.

Contribution

It demonstrates the invariance of Einstein's equations under disformal transformations and derives the mimetic gravity equations as a special subclass.

Findings

Einstein's equations are generally invariant under disformal transformations.

Mimetic gravity equations emerge as a specific subclass where invariance does not hold.

A generalized Schwarzschild solution within mimetic gravity is provided.

Abstract

In this Note we show that Einstein's equations for gravity are generically invariant under 'disformations'. We also show that the particular subclass when this is not true yields the equations of motion of 'Mimetic Gravity'. Finally we give the 'mimetic' generalization of the Schwarzschild solution.