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Torsion in the Classical Spacetime Context

Meskhidze, Helen and Weatherall, James Owen (2023) Torsion in the Classical Spacetime Context. [Preprint]

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Teleparallel gravity, an empirically equivalent counterpart to General Relativity, represents the influence of gravity using torsional forces. It raises questions about theory interpretation and underdetermination. To better understand the torsional forces of Teleparallel gravity, we consider a context in which forces are better understood: classical spacetimes. We propose a method of incorporating torsion into the classical spacetime context that yields a classical theory of gravity with a closed temporal metric and spacetime torsion. We then prove a result analogous to the Trautman degeometrization theorem, that every model of Newton-Cartan theory gives rise, non-uniquely, to a model of this theory.

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Item Type: Preprint
Weatherall, James
Keywords: Torsion, Teleparallel Gravity, General Relativity, Newtonian Gravity, Newton-Cartan Theory
Subjects: Specific Sciences > Physics
Depositing User: Helen Meskhidze
Date Deposited: 22 Apr 2023 12:31
Last Modified: 22 Apr 2023 12:31
Item ID: 22007
Subjects: Specific Sciences > Physics
Date: 21 April 2023

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