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We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Jiri Bicak , Bernd G. Schmidt

Shear-free or asymptotically shear-free null geodesic congruences possess a large number of fascinating geometric properties and to be closely related, in the context of general relativity, to a variety of physically significant affects. It…

General Relativity and Quantum Cosmology · Physics 2016-11-23 T. M. Adamo , E. T. Newman , C. N. Kozameh

We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision.

General Relativity and Quantum Cosmology · Physics 2017-09-27 Helmut Friedrich , Janos Kannar

We consider a system of nonlinear wave equations with constraints that arises from the Einstein equations of general relativity and describes the geometry of the so-called Gowdy symmetric spacetimes on T3. We introduce two numerical…

General Relativity and Quantum Cosmology · Physics 2009-01-08 Paulo Amorim , Christine Bernardi , Philippe G. LeFloch

In recent years, several pulsar timing array collaborations have reported first hints for a stochastic gravitational wave background at nano-Hertz frequencies. Here we elaborate on the possibility that this signal comes from new physics…

High Energy Physics - Phenomenology · Physics 2023-11-02 Eric Madge , Enrico Morgante , Cristina Puchades-Ibáñez , Nicklas Ramberg , Wolfram Ratzinger , Sebastian Schenk , Pedro Schwaller

We study the formation of primordial black holes and the generation of gravitational waves in a class of cosmological models that are direct supersymmetric analogs of the observationally favored nonminimally coupled Higgs inflation model.…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Shinsuke Kawai , Jinsu Kim

The gravitational waves emitted by massive black hole binaries can be affected by a variety of environmental effects, which, if detected, could inform astrophysics and cosmology. We here study how gravitational waves emitted by black holes…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Tomás Ferreira Chase , Diana López Nacir , Nicolás Yunes

We consider some specific models of non-minimal matter-geometry coupling theories and investigate the propagation of the gravitational waves in them. Extracting the temporal evolution of the gravitational wave equation within the framework…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Tahereh Azizi , Najibe Borhani , Mojtaba Haghshenas

In this paper, we investigate the fully nonlinear wave equations on the product space $\mathbb{R}^3\times\mathbb{T}$ with quadratic nonlinearities and on $\mathbb{R}^2\times\mathbb{T}$ with cubic nonlinearities, respectively. It is shown…

Analysis of PDEs · Mathematics 2025-05-16 Fei Hou , Fei Tao , Huicheng Yin

A new evolution algorithm for the characteristic initial value problem based upon an affine parameter rather than the areal radial coordinate used in the Bondi-Sachs formulation is applied in the spherically symmetric case to the…

General Relativity and Quantum Cosmology · Physics 2019-11-13 J. A. Crespo , H. P. de Oliveira , J. Winicour

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Even though one could already constrain different models in cosmology and Beyond Standard Model physics using CMB data, these models remained unconstrained at shorter wavelength scales, and knowledge of new physics at higher energy scales…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Rafael R. Lino dos Santos , Linda M. van Manen

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

Gravitational memory effects are predictions of general relativity that are characterized by an observable effect that persists after the passage of gravitational waves. In recent years, they have garnered particular interest, both due to…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Alexander M. Grant , Keefe Mitman

The Conformal Einstein equations and the representation of spatial infinity as a cylinder introduced by Friedrich are used to analyse the behaviour of the gravitational field near null and spatial infinity for the development of data which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. A. Valiente Kroon

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

In this paper we have discussed geodesics and the motion of test particle in the gravitational field of noncommutative charged black hole spacetime. The motion of massive and massless particle have been discussed seperately. A comparative…

General Relativity and Quantum Cosmology · Physics 2015-07-14 Piyali Bhar , Farook Rahaman , Ritabrata Biswas , U. F. Mondal

The Cosmological Gravitational Wave Background (CGWB) anisotropies contain valuable information about the physics of the early universe. Given that General Relativity is intrinsically nonlinear, it is important to look beyond first-order…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Alina Mierna , Sabino Matarrese , Nicola Bartolo , Angelo Ricciardone

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer
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