Non-relativistic Limits of General Relativity

Bergshoeff, Eric; Lahnsteiner, Johannes; Romanò, Luca; Rosseel, Jan; Şimşek, Ceyda

doi:10.1007/978-3-030-80209-7_49

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Action and Equations Of Motion1

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“…(158) 15 Close to the completion of this work we became aware of the work of Bergshoeff et al [87] where they obtained a similar action by taking a particular non-relativistic limit of NS-NS gravity.…”

Section: Action and Equations Of Motionmentioning

confidence: 85%

Non-Riemannian gravity actions from double field theory

Gallegos,

Gürsoy,

Verma

et al. 2020

Preprint

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Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with nonrelativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

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Section: Action and Equations Of Motionmentioning

confidence: 85%