Relativistic Gravity With a Dynamical Preferred Frame

TL;DR

This paper explores a modified theory of gravity that incorporates a dynamical preferred frame, potentially breaking Lorentz invariance at high energies, with implications for quantum gravity and astrophysical phenomena.

Contribution

It proposes a new effective field theory of gravity with broken Lorentz invariance and discusses its theoretical implications.

Findings

Constructed a candidate theory of gravity with a dynamical preferred frame.

Discussed potential implications for quantum gravity and astrophysical anomalies.

Highlighted possible Lorentz invariance violations at high energies.

Abstract

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an explanation for astrophysical anomalies such as the missing GZK cutoff. Therefore, we seek an effective field theory description of gravity where Lorentz invariance is broken. We will construct a candidate theory and then briefly discuss some of the implications.