The coupling of matter and spacetime geometry

Show full item record



Jimenez , J B , Heisenberg , L & Koivisto , T 2020 , ' The coupling of matter and spacetime geometry ' , Classical and Quantum Gravity , vol. 37 , no. 19 , 195013 .

Title: The coupling of matter and spacetime geometry
Author: Jimenez, Jose Beltran; Heisenberg, Lavinia; Koivisto, Tomi
Contributor organization: Helsinki Institute of Physics
Department of Physics
Date: 2020-10-08
Language: eng
Number of pages: 24
Belongs to series: Classical and Quantum Gravity
ISSN: 0264-9381
Abstract: The geometrical formulation of gravity is not unique and can be set up in a variety of spacetimes. Even though the gravitational sector enjoys this freedom of different geometrical interpretations, consistent matter couplings have to be assured for a steady foundation of gravity. In generalised geometries, further ambiguities arise in the matter couplings unless the minimal coupling principle (MCP) is adopted that is compatible with the principles of relativity, universality and inertia. In this work, MCP is applied to all standard model gauge fields and matter fields in a completely general (linear) affine geometry. This is also discussed from an effective field theory perspective. It is found that the presence of torsion generically leads to theoretical problems. However, symmetric teleparallelism, wherein the affine geometry is integrable and torsion-free, is consistent with MCP. The generalised Bianchi identity is derived and shown to determine the dynamics of the connection in a unified fashion. Also, the parallel transport with respect to a teleparallel connection is shown to be free of second clock effects.
Subject: geometry
minimal coupling procedure
115 Astronomy, Space science
Peer reviewed: Yes
Usage restriction: openAccess
Self-archived version: acceptedVersion

Files in this item

Total number of downloads: Loading...

Files Size Format View
Jim_nez_The_cou ... and_spacetime_geometry.pdf 933.4Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record