Extending the graviton propagator with a Lorentz-violating vector field

TL;DR

This paper explores extending a linear Lorentz-violating gravity theory to a non-linear regime by coupling a rank-2 tensor field to its own stress-energy tensor, aiming to develop a consistent Lorentz-violating gravity model.

Contribution

It introduces a method to bootstrap a linear Lorentz-violating gravity theory into a non-linear framework through self-coupling of the tensor field.

Findings

Progress in extending linear Lorentz-violating gravity to non-linear theories

Development of a bootstrap approach for self-coupling

Foundational steps towards a Lorentz-violating gravity model

Abstract

I discuss progress towards "bootstrapping" a Lorentz-violating gravity theory: namely, extending a linear Lorentz-violating theory of a rank-2 tensor to a non-linear theory by coupling this field to its own stress-energy tensor.