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arXiv · 1010.5831

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

A. Pinzul
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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.

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A. Pinzul. 2011-08-26. On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension. https://doi.org/10.1088/0264-9381%2F28%2F19%2F195005

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