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Symmetries play an important role in modern theories of gravity. The strong equivalence principle (SEP) constitutes a collection of gravitational symmetries which are all implemented by general relativity. Alternative theories, however, are…

We study the nonlinear dynamics of binary black hole systems with scalar charge by numerically evolving the full equations of motion for shift-symmetric Einstein scalar Gauss-Bonnet gravity. We consider quasi-circular binaries with…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Maxence Corman , Justin L. Ripley , William E. East

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 A. Miguel Holgado , Paul M. Ricker

Unimodular relativity is a theory of gravity and space-time with a fixed absolute space-time volume element, the modulus, which we suppose is proportional to the number of microscopic modules in that volume element. In general relativity an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 David R. Finkelstein , Andrei A. Galiautdinov , James E. Baugh

We extend the formalism of the Einstein-Hilbert unimodular gravity in the context of modified $F(R)$ gravity. After appropriately modifying the Friedmann-Robertson-Walker metric in a way that it becomes compatible to the unimodular…

General Relativity and Quantum Cosmology · Physics 2016-06-01 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

Amplitude and phase of the gravitational waveform from compact binary systems can be decomposed in terms of their mass- and current-type multipole moments. In a modified theory of gravity, one or more of these multipole moments could…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha , Anuradha Gupta , B. S. Sathyaprakash , K. G. Arun

A large class of modified theories of gravity used as models for dark energy predict a propagation speed for gravitational waves which can differ from the speed of light. This difference of propagations speeds for photons and gravitons has…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Hermano Velten , Jose Beltrán Jiménez , Federico Piazza

The light curve of many supernovae (SNe) and gamma-ray bursts (GRBs) can be explained by a sustained injection of extra energy from its possible central engine, a rapidly rotating strongly magnetic neutron star (i.e. magnetar). The magnetic…

High Energy Astrophysical Phenomena · Physics 2016-09-14 Wynn C. G. Ho

For slowly spinning matter the rate of energy loss via radiation of gravitational waves is estimated in General Relativity (GR) within a generally covariant superenergy approach. This estimation differs from Einstein's Quadrupole Formula…

General Relativity and Quantum Cosmology · Physics 2008-12-23 Yury E. Pokrovsky

The direct detection of gravitational waves by ground-based interferometers opened an unprecedented channel to probe alternative theories of gravitation. Several theories predict a dispersion of the gravitational waves during their…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Leïla Haegel

We perform fully relativistic calculations of binary neutron stars in corotating, circular orbit. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits gravitational radiation, causing the system to…

General Relativity and Quantum Cosmology · Physics 2016-08-25 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

The direct detection of gravitational waves (GWs) opened a new chapter in the modern cosmology to probe possible deviations from the general relativity (GR) theory. In the present work, we investigate for the first time the modified GW form…

General Relativity and Quantum Cosmology · Physics 2019-09-16 Rafael C. Nunes , Marcio E. S. Alves , Jose C. N. de Araujo

We study the imprint of magnetic fields on gravitational waves emitted during the inspiral phase of eccentric binary neutron star systems. While observations indicate that neutron stars typically exhibit strong magnetic fields in the range…

High Energy Astrophysical Phenomena · Physics 2025-09-18 R. Prasad , Anushka Doke , Prayush Kumar

Gravitational waves undergo redshift as they propagate through the expanding universe, and the redshift may exhibit time-dependent drift. Consequently, for any isolated gravitational wave sources, the mass parameter $\mathcal{M}$ and the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Tan Liu , Wen-Fan Feng , Zong-Kuan Guo

Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

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

In modified gravity theories, the gravitational waves propagation are presented in nonstandard ways. We consider a friction term different from GR and constrain the modified gravitational waves propagation from observations. The modified…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-12 Jun Li

The unimodular metagravity, with the graviscalar as a dark matter, is compared with General Relativity (GR) in the presence of a scalar field. The effect of the graviscalar on the static spherically symmetric metric is studied. An exact…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Yu. F. Pirogov

It is shown that Birkhoff's theorem for the general theory of relativity is overcome in the $f(R)$-theory of gravitation. That means, the $f(R)$-theory of gravitation, unlike Einstein's general theory of relativity, does not forbid…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Luc Blanchet