Generalized Newton-Cartan geometries for particles and strings

Autor(en)

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

Abstrakt

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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Groningen, Universidad de Murcia, Rudjer Boskovic Institute

Journal

Classical and Quantum Gravity

Band

40

Anzahl der Seiten

28

ISSN

0264-9381

DOI

https://doi.org/10.1088/1361-6382/acbe8c

Publikationsdatum

04-2023

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik, 103036 Theoretische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d9776c23-7bad-422f-a6ca-c2c2f18f81c7