Lagrangians for non-relativistic gravity

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.

References in corpus (2)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• (m,n)-String and D1-Brane in Stringy Newton-Cartan Background