Polarization of gravitational waves in general teleparallel theories of gravity

Abstract

We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman-Penrose formalism, and find that depending on the choice of parameters, the $\mathrm{E}(2)$ class of the theories is one of ${\mathrm{N}}_2,{\mathrm{N}}_3,{\mathrm{III}}_5,{\mathrm{II}}_6$, corresponding to two to six polarizations, where all of them include the two tensor polarizations known from general relativity. We also find classes of theories apart from general relativity which yield the same polarizations.

9 pages, 2 figures; to appear in the proceedings of the third Zeldovich meeting, Minsk, April 23-27, 2018

References in corpus (4)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• The teleparallel equivalent of general relativity
• Covariant formulation of scalar-torsion gravity
• New classes of modified teleparallel gravity models

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• General covariant symmetric teleparallel cosmology
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• Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology
• Review of the Hamiltonian analysis in teleparallel gravity
• Post-Newtonian limit of Teleparallel Horndeski gravity
• Non-Linear Obstructions for Consistent New General Relativity
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
• Gravitational Waves in Higher Order Teleparallel Gravity
• Underdetermination in Classic and Modern Tests of General Relativity
• Gravitational wave birefringence in spatially curved teleparallel cosmology
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Gauge-invariant post-Newtonian perturbations in symmetric teleparallel gravity
• Degrees of freedom of a quadratic scalar-nonmetricity theory