On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension
High Energy Physics - Theory
2011-09-09 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We initiate the study of Horava-Lifshitz models of gravity in the framework of spectral geometry. As the first step, we calculate the dimension of space-time. It is shown, that for the natural choice of a Dirac operator (or rather corresponding generalized Laplacian), which respects both the foliation structure and anisotropic scaling, the result of Horava on a spectral dimension is reproduced for an arbitrary, non-flat space-time. The advantage and further applications of our approach are discussed.
Keywords
Cite
@article{arxiv.1010.5831,
title = {On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension},
author = {A. Pinzul},
journal= {arXiv preprint arXiv:1010.5831},
year = {2011}
}
Comments
References, a figure and minor clarifications added. To match the version to be published in CQG