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In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty

Higher-derivative modifications of general relativity are generically expected from effective field theory approaches to quantum gravity, and they arise naturally in Lorentz-violating theories such as Einstein-Ether gravity. In this work,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Sayantan Choudhury , Md Khalid Hossain , Gulnur Bauyrzhan , Koblandy Yerzhanov

We numerically integrate the Einstein's equations for a spatially flat Friedmann-Lemaire-Robertson-Walker (FLRW) background spacetime with a spatial curvature perturbation and evolving primordial tensor perturbations using the Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 Ke Wang

In the weak field approximation the gravitational wave is approximated as a linear wave, which ignores the nonlinear effect. In this paper, we present an exact general solution of the cylindrical gravitational wave. The exact solution of…

General Physics · Physics 2020-06-12 Yu-Zhu Chen , Yu-Jie Chen , Shi-Lin Li , Wu-Sheng Dai

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

Rainbow gravity modifies general relativity by introducing an energy dependent metric, which is expected to have a role in the quantum theory of black holes and in quantum gravity at Planck energy scale. We show that rainbow gravity can be…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Maria Chiara Braidotti , Claudio Conti

Nonlocal gravity (NLG) is a classical nonlocal generalization of Einstein's theory of gravitation that has been constructed in close analogy with the nonlocal electrodynamics of media. According to NLG, what appears as dark matter in…

Astrophysics of Galaxies · Physics 2022-07-21 Mahmood Roshan , Bahram Mashhoon

While there are no strong observational constraints on the gravitational wave background across six or more orders of magnitude between 10^{-16} Hz and 10^{-10} Hz and it is difficult to get a constraint below 10^{-12}Hz using objects in…

Astrophysics · Physics 2009-11-10 Naoki Seto , Asantha Cooray

Gravitational waves are excellent tools to probe the foundations of General Relativity in the strongly dynamical and non-linear regime. One such foundation is Lorentz symmetry, which can be broken in the gravitational sector by the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Devin Hansen , Nicolas Yunes , Kent Yagi

Detections of gravitational waves (GWs) since GW150914 has gained a contemporary interest in a potential quantum-classical correspondence between GWs and hypothetical gravitons. One such correspondence theory is stochastic gravity, whereby…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Noah M. MacKay

We show that the non-locality recently identified in quantum gravity using resummation techniques propagates to the matter sector of the theory. We describe these non-local effects using effective field theory techniques. We derive the…

High Energy Physics - Theory · Physics 2017-11-28 S. O. Alexeyev , X. Calmet , B. N. Latosh

The direct observation of gravitational waves will provide a unique tool for probing the dynamical properties of highly compact astrophysical objects, mapping ultra-relativistic regions of space-time, and testing Einstein's general theory…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Massimo Tinto , Márcio Eduardo da Silva Alves

During hundred years of General Relativity (GR), many significant gravitational phenomena have been predicted and discovered. General Relativity is still the best theory of gravity. Nevertheless, some (quantum) theoretical and…

High Energy Physics - Theory · Physics 2017-01-10 Ivan Dimitrijevic , Branko Dragovich , Jelena Stankovic , Alexey S. Koshelev , Zoran Rakic

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Nikodem J. Poplawski

Various aspects of nonlocality of a quantum wave are discussed. In particular, the question of the possibility of extracting information about the relative phase in a quantum wave is analyzed. It is argued that there is a profound…

Quantum Physics · Physics 2009-10-31 Y. Aharonov , L. Vaidman

Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

General Relativity and Quantum Cosmology · Physics 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

The local galaxy bias formalism relies on the energy constraint equation at the formation time to relate the metric perturbation to the matter density contrast. In the Newtonian approximation, this relationship is linear, which allows us to…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-17 Obinna Umeh , Kazuya Koyama , Roy Maartens , Fabian Schmidt , Chris Clarkson

A massive gravitationally bound object with a radius $r \leq 2GM/c^2$, which occurs in the non-singular version of the nonsymmetric gravitational theory (NGT), replaces the black hole in Einstein gravity theory. This object is kept stable…

Astrophysics · Physics 2007-05-23 J. W. Moffat

The Newtonian approximation with a nonvanishing nonlocal background field is analyzed for the scalar-tensor nonlocal gravity and nonlocal Gauss-Bonnet gravity. For these two theories, our calculations show that the Newtonian gravitational…

General Relativity and Quantum Cosmology · Physics 2019-03-28 S. X. Tian , Zong-Hong Zhu
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