Generalized Newton-Cartan geometries for particles and strings

E. A. Bergshoeff, K. van Helden, J. Lahnsteiner*, L. Romano, J. Rosseel

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)
76 Downloads (Pure)

Abstract

We discuss the generalized Newton-Cartan geometries that can serve as gravitational background fields for particles and strings. In order to enable us to define affine connections that are invariant under all the symmetries of the structure group, we describe torsionful geometries with independent torsion tensors. A characteristic feature of the non-Lorentzian geometries we consider is that some of the torsion tensors are so-called ‘intrinsic torsion’ tensors. Setting some components of these intrinsic torsion tensors to zero leads to constraints on the geometry. For both particles and strings, we discuss various such constraints that can be imposed consistently with the structure group symmetries. In this way, we reproduce several results in the literature.

Original languageEnglish
Article number075010
Number of pages28
JournalClassical and Quantum Gravity
Volume40
Issue number7
DOIs
Publication statusPublished - 6-Apr-2023

Keywords

  • Newton-Cartan geometry
  • nonrelativistic gravity
  • nonrelativistic string theory

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