Abstract
Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational waves in general theories of teleparallel gravity containing the torsion scalar T, the boundary term B and a scalar field phi . The goal is to classify possible new polarizations generalizing results presented in Bamba et al. (Phys Lett B 727:194–198, arXiv:1309.2698, 2013). We show that, if the boundary term is minimally coupled to the torsion scalar and the scalar field, gravitational waves have the same polarization modes of General Relativity.
Highlights
The observed late expansion of the universe can be described by either introducing an exotic form of energy or modifying gravity
The number of gravitational waves (GW) polarizations depends on the considered theory of gravity
In present work we have studied GWs in extended teleparallel gravity where a boundary term B and a further scalar field φ are taken into account beside the torsion scalar T
Summary
The observed late expansion of the universe can be described by either introducing an exotic form of energy (dark energy) or modifying gravity. As discussed in [24], the flat rotation curve of galaxies is better fitted considering a theory like f (R, φ), instead of a pure f (R),because, in such a case, it is possible to reproduce the so-called Sanders potential with better precision In this case, by a conformal transformation, it is shown that a model like f (R, φ) is analogue to f (R, R) so that the scalar field has a straightforward geometric interpretation too. We consider TEGR extensions assuming general functions of the torsion scalar T , and boundary terms B and a scalar field φ that, according to the discussion in [24], could be geometrically interpreted.
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