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Communication

On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories †

by
Daniel Blixt
*,
Manuel Hohmann
and
Christian Pfeifer
Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia
*
Author to whom correspondence should be addressed.
†
This Paper Is Based on the Talk at the Teleparallel Universes in Salamanca, Salamanca, Spain, 26–28 November 2018.
Universe 2019, 5(6), 143; https://doi.org/10.3390/universe5060143
Submission received: 2 May 2019 / Revised: 3 June 2019 / Accepted: 5 June 2019 / Published: 10 June 2019
(This article belongs to the Special Issue Selected Papers from Teleparallel Universes in Salamanca)
Versions Notes

Abstract

The covariant formulation of teleparallel gravity theories must include the spin connection, which has 6 degrees of freedom. One can, however, always choose a gauge such that the spin connection is put to zero. In principle this gauge may affect counting of degrees of freedom in the Hamiltonian analysis. We show for general teleparallel theories of gravity, that fixing the gauge such that the spin connection vanishes in fact does not affect the counting of degrees of freedom. This manifests in the fact that the momenta of the Lorentz transformations which generate the spin connection are fully determined by the momenta of the tetrads.
Keywords: teleparallel gravity; Weitzenböck gauge; Hamiltonian analysis teleparallel gravity; Weitzenböck gauge; Hamiltonian analysis

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MDPI and ACS Style

Blixt, D.; Hohmann, M.; Pfeifer, C. On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories. Universe 2019, 5, 143. https://doi.org/10.3390/universe5060143

AMA Style

Blixt D, Hohmann M, Pfeifer C. On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories. Universe. 2019; 5(6):143. https://doi.org/10.3390/universe5060143

Chicago/Turabian Style

Blixt, Daniel, Manuel Hohmann, and Christian Pfeifer. 2019. "On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories" Universe 5, no. 6: 143. https://doi.org/10.3390/universe5060143

APA Style

Blixt, D., Hohmann, M., & Pfeifer, C. (2019). On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories. Universe, 5(6), 143. https://doi.org/10.3390/universe5060143

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