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Gravitational radiation from known astrophysical sources is conventionally treated classically. This treatment corresponds, implicitly, to the hypothesis that a particular class of quantum-mechanical states -- the so-called coherent states…

General Relativity and Quantum Cosmology · Physics 2025-05-19 Sreenath K. Manikandan , Frank Wilczek

Building on the principles of quantum electrodynamics and special relativity, we develop a semi-classical QED theory of gravitation. The experiment model for theoretical analysis is the "hyperfine splitting" of the ground energy state of…

General Physics · Physics 2013-11-13 Zhiping Li , Xin Li

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

General Relativity and Quantum Cosmology · Physics 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

We test the validity of Isaacson's formula which states that high frequency and low amplitude gravitational waves behave as a radiation fluid on average. For this purpose, we numerically construct a solution of the vacuum Einstein equations…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Taishi Ikeda , Chul-Moon Yoo , Yasusada Nambu

We transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation from harmonic (de Donder) coordinates to radiative Newman-Unti (NU) coordinates. To linearized order, we obtain the NU metric as a…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Luc Blanchet , Geoffrey Compère , Guillaume Faye , Roberto Oliveri , Ali Seraj

We present formulations of effective potentials suitable for approximating general relativistic effects in Newtonian simulations of core-collapse supernovae. Assuming a spherically symmetric spacetime and a stress-energy tensor that…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Steven A. Fromm , Vassilios Mewes , O. E. Bronson Messer , Eric J. Lentz , W. Raphael Hix , J. Austin Harris

The Hulse-Taylor binary provides possibly the best test of GR to date. We find the modified quadrupole formula for Infinite Derivative Gravity (IDG). We extend the backreaction formula for propagation of gravitational waves, found…

General Relativity and Quantum Cosmology · Physics 2018-09-12 James Edholm

Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following…

General Relativity and Quantum Cosmology · Physics 2010-01-15 M. Cattani

According to special relativity and the equivalence principle, the Newtonian gravitational force between two particles with relativistic velocities increases significantly with velocity and in fact becomes unbound as the latter approaches…

General Physics · Physics 2011-01-26 Constantinos G. Vayenas , Stamatios Souentie

The use of compactified hyperboloidal coordinates for metric formulations of the Einstein field Equations introduces formally singular terms in the equations of motion whose numerical treatment requires care. In this paper we study a…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Christian Peterson , David Hilditch

We present tests and results of a new axisymmetric, fully general relativistic code capable of solving the coupled Einstein-matter system for a perfect fluid matter field. Our implementation is based on the Bondi metric, by which the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Siebel , J. A. Font , E. Mueller , P. Papadopoulos

We show that a passing gravitational wave may influence the spin entropy and spin negativity of a system of $N$ massive spin-1/2 particles, in a way that is characteristic of the radiation. We establish the specific conditions under which…

Quantum Physics · Physics 2008-11-26 Ye Yeo , Chee Leong Ching , Jeremy Chong , Wee Kang Chua , Andreas Dewanto , Zhi Han Lim

Recently, Friedrich's Generalized Conformal Field Equations (GCFE) have been implemented numerically and global quantities such as the Bondi energy and the Bondi-Sachs mass loss have been successfully calculated directly on null-infinity.…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Jörg Frauendiener , Chris Stevens

Particles in a yet unexplored dark sector with sufficiently large mass and small gauge coupling may form purely gravitational atoms (quantum gravitational bound states) with a rich phenomenology. In particular, we investigate the…

High Energy Physics - Phenomenology · Physics 2019-06-26 Niklas G. Nielsen , Andrea Palessandro , Martin S. Sloth

A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. The method combines the conformal thin sandwich formalism with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel , Deirdre Shoemaker

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Robert A. Eisenstein

We analyze three classical field theories based on the wave equation: scalar field, electrodynamics and linearized gravity. We derive certain generating formula on a hyperboloid and on a null surface for them. The linearized Einstein…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Jacek Jezierski

Gravitational waves have been directly detected and astronomical observations indicate that our Universe has a positive cosmological constant $\Lambda$. Nevertheless, a theoretical gauge-invariant notion of gravitational waves arriving at…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Francisco Fernández-Álvarez , José M. M. Senovilla