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A gauge-invariant formulation for the gravitational wave equations is presented. Using this approach, weak, plane wave solutions in a vacuum are derived in various theories. These include general relativity with two modes of polarization…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Junpei Harada

We compare different gravitational-wave extraction methods used in three-dimensional nonlinear simulations against linear simulations of perturbations of spherical spacetimes with matter. We present results from fully general-relativistic…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Sebastiano Bernuzzi , Luca Baiotti , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

A quasi-spherical approximation scheme, intended to apply to coalescing black holes, allows the waveforms of gravitational radiation to be computed by integrating ordinary differential equations.

General Relativity and Quantum Cosmology · Physics 2009-12-30 Sean A. Hayward

The equations of General Relativity are recast in the form of a wave equation for the Weyl tensor. This allows to reformulate gravitational wave theory in terms of curvature waves, rather than metric waves. The existence of two transverse…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Jan W. van Holten

A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. A subclass of these solutions corresponds to the exterior gravitational fields of rotating cylindrical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon , James C. McClune , Enrique Chavez , Hernando Quevedo

Gravitational waves are a potential direct probe for the multi-dimensional flow during the first second of core-collapse supernova explosions. Here we outline the structure of the predicted gravitational wave signal from neutrino-driven…

High Energy Astrophysical Phenomena · Physics 2017-03-16 Bernhard Müller

We present the exact solution to the linearized Maxwell equations in space-time slightly curved by a gravitational wave. We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari

We show that gravitational waves can act as waveguides for electromagnetic radiation, that is if the latter is initially aligned with the gravitational waves, then the alignment will survive during the propagation. The analysis is performed…

General Relativity and Quantum Cosmology · Physics 2022-10-21 A. A. Kocharyan , M. Samsonyan , V. G. Gurzadyan

We compute gravitational waves emitted by the collapse of a rotating very massive star (VMS) core leading directly to a black hole in axisymmetric numerical-relativity simulations. The evolved rotating VMS is derived by a stellar evolution…

High Energy Astrophysical Phenomena · Physics 2019-01-25 Haruki Uchida , Masaru Shibata , Koh Takahashi , Takashi Yoshida

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion, nonmetricity and the…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Alejandro Jiménez-Cano , Yuri N. Obukhov

We have developed a 3-D Eulerian hydrodynamics code to model sources of gravitational radiation. The code is written in cylindrical coordinates $(\varpi,z,\varphi)$ and has moving grids in the $\varpi$ and $z$-directions. We use Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Scott C. Smith , Joan M. Centrella , Sean P. Clancy

Hydromagnetic turbulence produced during phase transitions in the early universe can be a powerful source of stochastic gravitational waves (GWs). GWs can be modelled by the linearised spatial part of the Einstein equations sourced by the…

Fluid Dynamics · Physics 2021-07-15 A. Roper Pol , A. Brandenburg , T. Kahniashvili , A. Kosowsky , S. Mandal

It is well known that couplings occur among the scalar-, vector-, and tensor-type perturbations of Friedmann world model in the second perturbational order. Here, we prove that, except for the gravitational wave contribution, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Noh , J. Hwang

We consider an imperfect relativistic fluid which develops a shock wave and discuss its structure and thickness, taking into account the effects of viscosity and heat conduction in the form of sound absorption. The junction conditions and…

Astrophysics · Physics 2008-11-26 Jose A. S. Lima , Alejandra Kandus , Reuven Opher

We carry out 3-D numerical simulations of the dynamical instability in rapidly rotating stars initially modeled as polytropes with n = 1.5, 1.0, and 0.5. The calculations are done with a SPH code using Newtonian gravity, and the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Janet L. Houser , Joan M. Centrella

Einstein's equations admit solutions corresponding to photon rockets. In these a massive particle recoils because of the anisotropic emission of photons. In this paper we ask whether rocket motion can be powered only by the emission of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 W. B. Bonnor , M. S. Piper

We show that acoustic crystalline wave gives rise to an effect similar to that of a gravitational wave to an electron gas. Applying this idea to a two-dimensional electron gas in the fractional quantum Hall regime, this allows for…

Strongly Correlated Electrons · Physics 2016-04-19 Kun Yang

We present a general method for computing the gravitational radiation arising from the motion of bubble walls or thin fluid shells in cosmological phase transitions. We discuss the application of this method to different wall kinematics. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Ariel Megevand , Federico Agustin Membiela

Triaxial neutron stars can be sources of continuous gravitational radiation detectable by ground-based interferometers. The amplitude of the emitted gravitational wave can be greatly affected by the state of the hydrodynamical fluid flow…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Yufeng Luo , Antonios Tsokaros , Roland Haas , Koji Uryu

The present work deals with dynamics of gravitational collapse with cylindrical symmetry as developed by Misner and Sharp. The interior collapsing anisotropic cylindrical perfect fluid is matched to an exterior vacuum cylindrically…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Sanjukta Chakraborty , Subenoy Chakraborty