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We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

The production of a stochastic background of gravitational waves is a fundamental prediction of any cosmological inflationary model. The features of such a signal encode unique information about the physics of the Early Universe and beyond,…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-05 Maria Chiara Guzzetti , Nicola Bartolo , Michele Liguori , Sabino Matarrese

We investigate the influence of gravitational waves on a freely falling hydrogen atom by analyzing the dynamics of the bound electron described by the Dirac equation in the curved spacetime of a gravitational wave. From this, we derive the…

General Relativity and Quantum Cosmology · Physics 2023-10-20 Nontapat Wanwieng , Narupon Chattrapiban , Apimook Watcharangkool

For the strong gravitational wave model, an explicit transformation is obtained from a privileged coordinate system with a wave variable to a synchronous reference frame with separation of time and space variables. In a synchronous…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Rhondale Tso , Maximiliano Isi , Yanbei Chen , Leo Stein

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…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Habib Abedi , Salvatore Capozziello

In order to examine the gravitational waves emitted from the neutron stars in the tensor-vector-scalar (TeVeS) theory, we derive the perturbation equations for relativistic stars, where for simplicity we omit the perturbations of vector…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Hajime Sotani

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

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jing-Zhi Zhou , Yu-Ting Kuang , Di Wu , Fei-Yu Chen , H. Lü , Zhe Chang

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

We propose a new strategy to probe non-tensorial polarizations in the stochastic gravitational-wave (GW) background. Averaging over polarization angles, we find that three-point correlations of the GW signal vanish for tensor and vector…

General Relativity and Quantum Cosmology · Physics 2025-09-11 N. M. Jiménez Cruz , Flavio C. Sánchez , Gianmassimo Tasinato

Gravitational waves in general relativity contain two polarization degrees of freedom, commonly labeled plus and cross. Besides those two tensor modes, generic theories of gravity predict up to four additional polarization modes: two scalar…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Katerina Chatziioannou , Maximiliano Isi , Carl-Johan Haster , Tyson B. Littenberg

Gravitational-wave memory is a low-frequency, non-oscillatory signal that provides a promising probe of strong-field gravity. We present the first computation of memory from full inspiral--merger--ringdown waveforms in a theory beyond GR,…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Silvia Gasparotto

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

It is shown that if a generalized definition of gauge invariance is used, gauge invariant effective stress-energy tensors for gravitational waves and other gravitational perturbations can be defined in a much larger variety of circumstances…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Paul R. Anderson
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