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Lagrangians for non-relativistic gravity

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arxiv 2112.12648 v2 pith:C3HB7QMD submitted 2021-12-23 hep-th

classification hep-th
keywords expansionactioneinstein-hilbertparametrizationsuitableallowsanalyticalarbitrary
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abstract

We study the covariant expansion of Einstein-Hilbert action in powers of $1/c^2$ with arbitrary spacetime foliation where $c$ is the speed of light. This is done firstly by suitable parametrization of geometry which is called 'pre-non-relativistic' parametrization. This allows us to rewrite the general relativity in a form suitable for the analytical $1/c^2$ expansion. Consequently, we can study the expansion of Einstein-Hilbert action up to the next-to-next-to-leading order.

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  1. On the Underlying Nonrelativistic Nature of Relativistic Holography

    hep-th 2025-02 conditional novelty 5.0 of 10

    Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.

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