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Disformal Transformations in Modified Teleparallel Gravity

1
Centre for Theoretical Physics, The British University in Egypt, Sherouk City 11837 El, Egypt
2
Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Av. Juan Cisternas 1200, 1720236 La Serena, Chile
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Authors to whom correspondence should be addressed.
Symmetry 2020, 12(1), 152; https://doi.org/10.3390/sym12010152 (registering DOI)
Received: 16 December 2019 / Revised: 3 January 2020 / Accepted: 8 January 2020 / Published: 11 January 2020
(This article belongs to the Special Issue Selected Papers: 10th Mathematical Physics Meeting)
In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main geometric objects in these theories such as torsion tensor, torsion vector and contortion. Most importantly, we consider the boundary term which distinguishes the torsion scalar from the Ricci scalar. With that we show for f ( T ) gravity that disformal transformations from the Jordan frame representation are unable to straightforwardly remove local Lorentz breaking terms that characterize it. However, we have shown that disformal transformations have interesting properties, which can be useful for future applications in scalar-torsion gravity models, among others. View Full-Text
Keywords: teleparallel gravity; f(T) gravity; scalar-torsion gravity; disformal transformations; degrees of freedom teleparallel gravity; f(T) gravity; scalar-torsion gravity; disformal transformations; degrees of freedom
MDPI and ACS Style

Golovnev, A.; Guzmán, M.J. Disformal Transformations in Modified Teleparallel Gravity. Symmetry 2020, 12, 152.

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