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arXiv · 1502.02880

Dynamical construction of Horava-Lifshitz geometry

Rabin Banerjee·Pradip Mukherjee
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Abstract

We derive the projectable version of Horava - Lifshitz gravity from the localisation of the Galilean symmetry. Specifically we provide a dynamical construction of the metric, from first principles, that reproduces the transformations of the physical variables - lapse, shift and spatial component of the metric. Also, the measure defining the action is reproduced. The geometrical basis of the Horava-Lifshitz gravity is thereby revealed which also elucidates its difference from the Newton-Cartan geometry - the spacetime of Newtonian gravity. The connection of Newton's gravity with Horava-Lifshitz gravity is elucidated.

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Rabin Banerjee, Pradip Mukherjee. 2015-08-27. Dynamical construction of Horava-Lifshitz geometry. https://arxiv.org/abs/1502.02880

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