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Cosmological Gravitational Waves (GWs) are usually associated with the transverse-traceless part of the metric perturbations in the context of the theory of cosmological perturbations. These modes are just the usual polarizations `+' and…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Marcio E. S. Alves , Oswaldo D. Miranda , Jose C. N. de Araujo

Extended Theories of Gravity are considered as a new approach for solving the infrared and ultraviolet scale problems of the Standard Theory of Gravity (General Relativity). Observational evidence of gravitational waves and subsequent…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Sourav Roy Chowdhury , Maxim Khlopov

We find polarization modes of gravitational waves in topologically massive and new massive gravities by using the Newman-Penrose formalism where the null real tetrad is necessary to specify gravitational waves. The number of polarization…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Taeyoon Moon , Yun Soo Myung

The formalism of the exact six polarization modes of gravitational waves is constructed in terms of both the small metric perturbations and the Newman-Penrose scalars. The obtained formulae are applicable to any metric-compatible gravity…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Young-Hwan Hyun , Yoonbai Kim , Seokcheon Lee

The determination of the polarization modes of gravitational waves (GWs) and their dispersion relations is a crucial task for scrutinizing the viability of extended theories of gravity. A tool to investigate the polarization states of GWs…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Márcio E. S. Alves

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…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Manuel Hohmann

Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in $f(R)$ theories. In the latter ones, besides the usual two transverse-traceless…

General Relativity and Quantum Cosmology · Physics 2018-07-26 H. Rizwana Kausar , Lionel Philippoz , Philippe Jetzer

We consider the nondynamical Chern-Simons (nCS) modified gravity, which is regarded as a parity-odd theory of massive gravity in four dimensions. We first find polarization modes of gravitational waves for $\theta=x/\mu$ in nCS modified…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Yun Soo Myung , Taeyoon Moon

We point out that there are only three polarizations for gravitational waves in $f(R)$ gravity, and the polarization due to the massive scalar mode is a mix of the pure longitudinal and transverse breathing polarization. The classification…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Dicong Liang , Yungui Gong , Shaoqi Hou , Yunqi Liu

We discuss the propagation of gravitational waves in a recently discussed class of theories containing N >= 2 metric tensors and a corresponding number of standard model copies. Using the formalism of gauge-invariant linear perturbation…

General Relativity and Quantum Cosmology · Physics 2012-04-24 Manuel Hohmann

In this paper, we study the gravitational wave polarization modes for some particular $f(R)$ models using Newman-Penrose formalism. We find two extra scalar modes of gravitational wave (longitudinal and transversal modes) in addition to two…

General Relativity and Quantum Cosmology · Physics 2017-12-06 M. Sharif , Aisha Siddiqa

The direct detection of gravitational waves by LIGO/Virgo opened the possibility to test General Relativity and its alternatives in the high speed, strong field regime. Alternative theories of gravity generally predict more polarizations…

General Relativity and Quantum Cosmology · Physics 2018-08-10 Yungui Gong , Shaoqi Hou

The direct observation of gravitational waves (GWs) in the near future, and the corresponding determination of the number of independent polarizations, is a powerful tool to test general relativity and alternative theories of gravity. In…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Marcio E. S. Alves , Oswaldo D. Miranda , Jose C. N. de Araujo

We study the polarizations of gravitational waves (GWs) in two classes of extended gravity theories. First, we formulate the polarizations in linear massive gravity (MG) with generic mass terms of non-Fierz-Pauli type by identifying all the…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Tomoya Tachinami , Shinpei Tonosaki , Yuuiti Sendouda

In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

General Relativity and Quantum Cosmology · Physics 2013-09-23 Atsushi Nishizawa , Kazuhiro Hayama

The observation of the inspiral and merger of compact binaries by the LIGO-Virgo collaboration has allowed for new tests of Einstein's theory in the extreme gravity regime, where gravitational interactions are simultaneously strong,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Pratik Wagle , Alexander Saffer , Nicolas Yunes

General Relativity is a hugely successful description of gravitation. However, both theory and observations suggest that General Relativity might have significant classical and quantum corrections in the Strong Gravity regime. Testing the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 S. Shankaranarayanan

Strong-field gravitational plane waves are often represented in either the Rosen or Brinkmann forms. While these two metric ansatze are related by a coordinate transformation, so that they should describe essentially the same physics, they…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Bethan Cropp , Matt Visser

Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

After a brief review of the work of de Paula, Miranda and Marinho on massive gravitational waves arising from a bimetric theory of gravity, in this paper it is shown that the presence of the mass generates a longi- tudinal component in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Corda
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