The coupling of matter and spacetime geometry

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Jimenez , J B , Heisenberg , L & Koivisto , T 2020 , ' The coupling of matter and spacetime geometry ' , Classical and Quantum Gravity , vol. 37 , no. 19 , 195013 . https://doi.org/10.1088/1361-6382/aba31b

Title: The coupling of matter and spacetime geometry
Author: Jimenez, Jose Beltran; Heisenberg, Lavinia; Koivisto, Tomi
Contributor: University of Helsinki, Helsinki Institute of Physics
Date: 2020-10-08
Language: eng
Number of pages: 24
Belongs to series: Classical and Quantum Gravity
ISSN: 0264-9381
URI: http://hdl.handle.net/10138/334165
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
non-metricity
minimal coupling procedure
bosons
fermions
gravity
GENERAL-RELATIVITY
GAUGE
INVARIANCE
PRINCIPLE
TORSION
SPIN
115 Astronomy, Space science
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