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We study the variational principle over an Hilbert-Einstein like action for an extended geometry taking into account torsion and non-metricity. By extending the semi-Riemannian geometry, we obtain an effective energy-momentum tensor which…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Jesús Martín Romero , Mauricio Bellini , José Edgar Madriz Aguilar

The energy of gravitational waves is a fundamental problem in gravity theory. The existing descriptions for the energy of gravitational waves, such as the well-known Isaacson energy-momentum tensor, suffer from several defects. Due to the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

We revisit the computation of the classical gravitational waveform for a particle moving in a plane wave background using on-shell amplitudes. We emphasize the relationship between gravitational memory and the boundary conditions of…

High Energy Physics - Theory · Physics 2025-10-02 Andrea Cristofoli , Sonja Klisch

We outline a method of relating the quantum effective action and the ground state wave function of a field theory. This method, along with a gauge-invariant mass term and the previously obtained vacuum wave function, is used to arrive at…

High Energy Physics - Theory · Physics 2012-01-05 V. P. Nair

Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell's EM equations. Both sets of the equations are isomorphic after changing…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Valeriy I. Sbitnev

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Babak , L. P. Grishchuk

Gyratonic plane fronted gravitational waves are exact solutions of Einstein's field equations, which correspond to gravitational waves that carry momentum and angular-momentum. Using the definitions of the Hamiltonian formulation of the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 F. L. Carneiro , S. C. Ulhoa , J. F. da Rocha-Neto

The article deals with the role of gravitational radiation energy in the large-scale dynamics of the universe. Motivated by the observed accelerated expansion, we investigate whether gravitational energy, treated as a well-defined physical…

General Relativity and Quantum Cosmology · Physics 2026-05-20 S. C. Ulhoa , F. L. Carneiro , J. W. Maluf

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

We describe progress evolving an important limit of binary orbits in general relativity, that of a stellar mass compact object gradually spiraling into a much larger, massive black hole. These systems are of great interest for gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott A. Hughes , Steve Drasco , Eanna E. Flanagan , Joel Franklin

A different approach has been used to evaluate the momentum imparted by the gravitational waves with spherical wavefronts. It is shown that the results obtained for momentum coincide with those already available in the literature.

General Relativity and Quantum Cosmology · Physics 2010-11-11 M. Sharif

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2009-06-29 Ivana Bochicchio , Mariafelicia De Laurentis , Ettore Laserra

Motivated by the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we analyze and contrast different constructions of the metric outside an isolated system, using post-Minkowskian…

General Relativity and Quantum Cosmology · Physics 2023-05-23 David Trestini , François Larrouturou , Luc Blanchet

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

We develop an effective approach for the study of the interaction of gravitational waves (GWs) and electromagnetic waves (EMWs), showing that quadrirefringence can be produced, a phenomenon consisting in a frequency and polarization…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Antonio Enea Romano , Sergio A. Vallejo-Peña

Using the construction of the Fermi frame, the field of a gravitational wave can be described in terms of gravito-electromagnetic fields that are transverse to the propagation direction and orthogonal to each other. In particular, the…

General Relativity and Quantum Cosmology · Physics 2020-11-13 Matteo Luca Ruggiero , Antonello Ortolan

Gravitational-wave data analysis is rapidly absorbing techniques from deep learning, with a focus on convolutional networks and related methods that treat noisy time series as images. We pursue an alternative approach, in which waveforms…

Instrumentation and Methods for Astrophysics · Physics 2019-05-31 Alvin J. K. Chua , Chad R. Galley , Michele Vallisneri

Using the recently established formalism of a worldline quantum field theory (WQFT) description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman