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`Stringy' Newton-Cartan Gravity

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arxiv 1206.5176 v1 pith:VJGF6BEU submitted 2012-06-22 hep-th gr-qc

`Stringy' Newton-Cartan Gravity

Roel Andringa , Eric Bergshoeff , Joaquim Gomis , Mees de Roo This is my paper
classification hep-th gr-qc
keywords stringyequationsgravitymotionnewton-cartanstringalgebraapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the string. The extension to include a non-zero cosmological constant is given. We stress the symmetries and (partial) gaugings underlying our construction. Our results provide a convenient starting point to investigate applications of the AdS/CFT correspondence based on the non-relativistic "stringy" Galilei algebra.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A unified expansion of Einstein's gravity

    hep-th 2026-07 conditional novelty 6.0

    A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.

  2. Worldsheet Formalism for Decoupling Limits in String Theory

    hep-th 2023-11 unverdicted novelty 6.0

    Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.