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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

Gravitational waves (GWs) hold great potential for an unobscured view of protoneutron stars (PNSs) formed as a result of stellar collapses. While waiting for discovery, deepening the understanding of GW emission in theory is beneficial for…

High Energy Astrophysical Phenomena · Physics 2024-09-18 Shuai Zha

We present numerical simulations in general relativity of collapsing stellar cores. Our initial model consists of a low metallicity rapidly-rotating progenitor which is evolved in axisymmetry with the latest version of our general…

Solar and Stellar Astrophysics · Physics 2015-06-17 Pablo Cerdá-Durán , Nicolas DeBrye , Miguel A Aloy , José A Font , Martin Obergaulinger

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

We quantise and solve the dynamics of gravitational waves in a quantum Friedmann-Lemaitre-Robertson-Walker spacetime filled with perfect fluid. The classical model is formulated canonically. The Hamiltonian constraint is de-parametrised by…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Hervé Bergeron , Jean Pierre Gazeau , Przemysław Małkiewicz

We show that the 4+1 dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the $(t,r)$ plane. Gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Piotr Bizoń , Tadeusz Chmaj , Bernd G. Schmidt

We analyse the gravitational-wave emission from 60 two-dimensional core-collapse supernova simulations. The models cover a range of progenitors and equations of state. We focus on the narrow frequency interval in the gravitational-wave…

High Energy Astrophysical Phenomena · Physics 2026-03-30 Haakon Andresen , Xingzao Li , Aurore Betranhandy , Evan P. O'Connor , Shuai Zha , Sean M. Couch

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

Many simulations of gravitational collapse to black holes become inaccurate before the total emitted gravitational radiation can be determined. The main difficulty is that a significant component of the radiation is still in the near-zone,…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Andrew M. Abrahams , Stuart L. Shapiro , Saul A. Teukolsky

The collapse of massive stars not only produces observable outbursts across the entire electromagnetic spectrum but, for Galactic (or near-Galactic) supernovae, detectable signals for ground-based neutrino and gravitational wave detectors.…

Astrophysics · Physics 2011-05-12 Chris L. Fryer , Daniel E. Holz , Scott A. Hughes

The main aim of this study is the comparison of gravitational waveforms obtained from numerical simulations which employ different numerical evolution approaches and different wave-extraction techniques. For this purpose, we evolve an…

General Relativity and Quantum Cosmology · Physics 2009-03-11 Luca Baiotti , Sebastiano Bernuzzi , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

In this paper we investigate gravitational waves production during the Big Bounce phase inspired by the Loop Quantum Cosmology. We consider the influence of the holonomy corrections to the equation for tensor modes. We show that they act…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jakub Mielczarek

We study the gravitational radiation produced by the collisions of bubble walls or thin fluid shells in cosmological phase transitions. Using the so-called envelope approximation, we obtain analytically the asymptotic behavior of the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Ariel Megevand , Agustin Membiela

The behaviour of a "test" electromagnetic field in the background of an exact gravitational plane wave is investigated in the framework of Einstein's general relativity. We have expressed the general solution to the de Rham equations as a…

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

(Abridged) We study the gravitational radiation from gravitational collapses of rapidly rotating neutron stars induced by a phase-transition from normal nuclear matter to a mixed phase of quark and nuclear matter in the core of the stars.…

Astrophysics · Physics 2010-11-11 L. -M. Lin , K. S. Cheng , M. -C. Chu , W. -M. Suen

An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Evgeny Sorkin

We highlight some subtleties that affect naive implementations of quadrupolar and octupolar gravitational waveforms from numerically-integrated trajectories of three-body systems. Some of those subtleties arise from the requirement that the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Matteo Bonetti , Enrico Barausse , Guillaume Faye , Francesco Haardt , Alberto Sesana

Presented in this paper is a technique that we propose for extracting the physical parameters of a rotating stellar core collapse from the observation of the associated gravitational wave signal from the collapse and core bounce. Data from…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Christian Röver , Marie-Anne Bizouard , Nelson Christensen , Harald Dimmelmeier , Ik Siong Heng , Renate Meyer

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

We use the basic equations that predict the emission of gravitational waves according to the Einstein gravitation theory to calculate the luminosities and the amplitudes of the waves generated by binary stars, pulsations of neutron stars,…

General Relativity and Quantum Cosmology · Physics 2010-03-11 M. Cattani
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