Relativistic Quantum Gravity at a Lifshitz Point
Abstract
We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this respect, although being fully relativistic, it results to be locally anisotropic in the time-like and space-like directions defined by a family of irrotational observers. We show that this theory propagates generically three degrees of freedom: two of them are related to the four-dimensional diffeomorphism invariant graviton (the metric) and one is related to a propagating scalar mode. Finally, we note that in the present formulation, matter can be consistently coupled to gravity.
Cite
@article{arxiv.0906.1201,
title = {Relativistic Quantum Gravity at a Lifshitz Point},
author = {Cristiano Germani and Alex Kehagias and Konstadinos Sfetsos},
journal= {arXiv preprint arXiv:0906.1201},
year = {2015}
}
Comments
v4: Erratum added: explanation on the true dynamical fields of the relativistic theory added. The theory is interpreted as a Tensor-Scalar relativistic theory. Reference added. Version accepted in JHEP