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arXiv · 2205.13534

Geometric multipliers and partial teleparallelism in Poincar\'e gauge theory

W. E. V. Barker
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Abstract

The dynamics of the torsion-powered teleparallel theory are only viable because thirty-six multiplier fields disable all components of the Riemann--Cartan curvature. We generalise this suggestive approach by considering Poincar\'e gauge theory in which sixty such `geometric multipliers' can be invoked to disable any given irreducible part of the curvature, or indeed the torsion. Torsion theories motivated by a weak-field analysis frequently suffer from unwanted dynamics in the strong-field regime, such as the activation of ghosts. By considering the propagation of massive, parity-even vector torsion, we explore how geometric multipliers may be able to limit strong-field departures from the weak-field Hamiltonian constraint structure, and consider their tree-level phenomena.

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W. E. V. Barker. 2022-05-26. Geometric multipliers and partial teleparallelism in Poincar\'e gauge theory. https://doi.org/10.1103/physrevd.108.024053

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