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In the weak field approximation the gravitational wave is approximated as a linear wave, which ignores the nonlinear effect. In this paper, we present an exact general solution of the cylindrical gravitational wave. The exact solution of…

General Physics · Physics 2020-06-12 Yu-Zhu Chen , Yu-Jie Chen , Shi-Lin Li , Wu-Sheng Dai

The gravitational wave signal generated by global, nonaxisymmetric shear flows in a neutron star is calculated numerically by integrating the incompressible Navier--Stokes equation in a spherical, differentially rotating shell. At Reynolds…

General Relativity and Quantum Cosmology · Physics 2011-05-23 C. Peralta , A. Melatos , M. Giacobello , A. Ooi

The frequencies and damping times of the non radial oscillations of neutron stars are computed for a set of recently proposed equations of state (EOS) which describe matter at supranuclear densites. These EOS are obtained within two…

Astrophysics · Physics 2009-11-10 O. Benhar , V. Ferrari , L. Gualtieri

We derive the perturbation equations for relativistic stars in scalar-tensor theories of gravity and study the corresponding oscillation spectrum. We show that the frequency of the emitted gravitational waves is shifted proportionally to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hajime Sotani , Kostas D. Kokkotas

Gravitational waves sourced by amplified scalar perturbations are a common prediction across a wide range of cosmological models. These scalar curvature fluctuations are inherently nonlinear and typically non-Gaussian. We argue that the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 A. J. Iovino , S. Matarrese , G. Perna , A. Ricciardone , A. Riotto

We have carried out an extensive set of two-dimensional, axisymmetric, purely-hydrodynamic calculations of rotational stellar core collapse with a realistic, finite-temperature nuclear equation of state and realistic massive star progenitor…

Astrophysics · Physics 2009-11-10 Christian D. Ott , Adam Burrows , Eli Livne , Rolf Walder

This thesis investigates in the time domain a particular class of second order perturbations of a perfect fluid non-rotating compact star: those arising from the coupling between first order radial and non-radial perturbations. This problem…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Passamonti

Rapidly rotating neutron stars are promising sources of continuous gravitational wave radiation for the LIGO and Virgo interferometers. The majority of neutron stars in our galaxy have not been identified with electromagnetic observations.…

The gravitational waves emitted by neutron stars carry unique information about their structure and composition. Direct detection of these gravitational waves, however, is a formidable technical challenge. In a recent study we quantified…

Solar and Stellar Astrophysics · Physics 2009-11-13 Anna L. Watts , Badri Krishnan

We study the dynamics of a bounded gravitational collapsing configuration emitting gravitational waves, where the exterior spacetime is described by Robinson-Trautman geometries. The full nonlinear regime is examined by using the Galerkin…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. P. de Oliveira , I. Damião Soares

We present a Bayesian data analysis pipeline for testing GR using gravitational wave signals from coalescing compact binaries, and in particular binary neutron stars. In this study, we investigate its performance when sources with spins are…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Michalis Agathos , Walter Del Pozzo , Tjonnie G. F. Li , Chris Van Den Broeck , John Veitch , Salvatore Vitale

We examine the time evolution of the frequencies of the gravitational wave after the bounce within the framework of relativistic linear perturbation theory using the results of one dimensional numerical simulations of core-collapse…

High Energy Astrophysical Phenomena · Physics 2016-09-14 Hajime Sotani , Tomoya Takiwaki

The existence of a superfluid core in the interior of a rotating neutron star may have an influence on its gravitational wave emission. In addition to the usually-assumed pure quadrupole radiation with the gravitational wave frequency at…

General Relativity and Quantum Cosmology · Physics 2014-05-06 M. Bejger , A. Królak

Gravitational waves emitted by binary neutron-star inspirals carry information on components' masses and tidal deformabilities, but not directly radii, which are measured by electromagnetic observations of neutron stars. To improve the…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Michał Bejger

We present a simplified description of a rotating neutron star emitting gravitational waves. We describe the system by an uniformly rotating triaxial homogeneous ellipsoid to catch the main aspects of the evolution. We construct an…

Solar and Stellar Astrophysics · Physics 2013-08-13 Ana Maria Endler , Sérgio Barbosa Duarte , Hilário Rodrigues , Marcelo Chiapparini

Magnetars have already been a potential candidate as gravitational wave sources that could be detected by current and future terrestrial as well as ground based gravitational wave detectors. In this article, we focus on the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

We summarize our current understanding of gravitational wave emission from core-collapse supernovae. We review the established results from multi-dimensional simulations and, wherever possible, provide back-of-the-envelope calculations to…

Solar and Stellar Astrophysics · Physics 2022-04-05 Ernazar Abdikamalov , Giulia Pagliaroli , David Radice

Gravitational wave emission from the gravitational collapse of massive stars has been studied for more than three decades. Current state of the art numerical investigations of collapse include those that use progenitors with realistic…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Kimberly C. B. New

Contents: 1. Introduction 2. Spontaneous symmetry breaking 2.1 Review of classical results about Maclaurin/Jacobi ellipsoids 2.2 Spontaneous breaking of symmetry: a general phenomenom 2.3 Previous results for compressible Newtonian stars…

Astrophysics · Physics 2007-05-23 S. Bonazzola , E. Gourgoulhon

We study gravitational waves from a spinning test particle scattered by a relativistic star using a perturbation method. The present analysis is restricted to axial modes. By calculating the energy spectrum, the waveforms and the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kazuhiro Tominaga , Motoyuki Saijo , Kei-ichi Maeda