Gravitational waves in modified teleparallel theories of gravity

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 $\varphi$. The goal is to classify possible new polarizations generalizing results presented in Ref.[15]. 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.

9 pages, to be published in Eur.Phys.J. C

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Cited by in corpus (39)

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• Stable and self-consistent compact star models in teleparallel gravity
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• No constraints for $f(T)$ gravity from gravitational waves induced from primordial black hole fluctuations
• Propagation of gravitational waves in teleparallel gravity theories
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Constraining Teleparallel Gravity through Gaussian Processes
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Higgs inflation and teleparallel gravity
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Thick brane in f(T,B) gravity
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Neural Network Reconstruction of $H^{\prime }(z)$ and its application in Teleparallel Gravity
• Gravitational Waves in Higher Order Teleparallel Gravity
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Weak field limit and gravitational waves in higher-order gravity
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Generalized Tachyonic Teleparallel cosmology
• Underdetermination in Classic and Modern Tests of General Relativity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Configurational Entropy and braneworlds in f(T,B) gravity
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Maxwell-$f(Q)$ theory
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Distinguish the $f(T)$ model from $\Lambda$CDM model with Gravitational Wave observations
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• The Equivalence Principle as a Noether Symmetry
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Linearized Field Equations and Extra Force in $f(R,{\mathbf{T}}^{(n)})$ Extended Gravity
• String-like brane splitting in the context of $f(T,B)$ gravity
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity