On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension

Details On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension

2010-10-28

arxiv.org/abs/1010.5831v2

Class.Quant.Grav.28:195005,2011

Physics

High Energy Physics

High Energy Physics - Theory

References, a figure and minor clarifications added. To match the version to be published in CQG

Scientific paper

10.1088/0264-9381/28/19/195005

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.

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