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We present ECHO-QGP, a numerical code for $(3+1)$-dimensional relativistic viscous hydrodynamics designed for the modeling of the space-time evolution of the matter created in high energy nuclear collisions. The code has been built on top…

For gravitational-wave spacetimes of Shapovalov type III, exact general solutions of geodesic deviation equations and equations of motion of test particles are obtained. Solutions are found in a privileged coordinate system, where the…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Konstantin Osetrin , Evgeny Osetrin , Elena Osetrina

We consider gravitational radiation in the presence of non-compact extra dimensions. If their number is odd, all spacetime becomes odd-dimensional and formation of gravitational radiation becomes non-trivial because of violation of the…

General Relativity and Quantum Cosmology · Physics 2021-09-24 D. V. Gal'tsov , M. Khlopunov

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Alfonso García-Parrado , Filipe C. Mena

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

Gravitational waves from oscillating neutron stars in axial symmetry are studied performing numerical simulations in full general relativity. Neutron stars are modeled by a polytropic equation of state for simplicity. A gauge-invariant wave…

Astrophysics · Physics 2009-11-10 Masaru Shibata , Yuichirou Sekiguchi

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

1. Introduction 2. Basics and outline of the method 2.1 Regions around an isolated source 2.2 The quadrupole formalism 2.3 Outline of the method 3. Properties of radiative gravitational fields 3.1 The field in the exterior domain (D_e) 3.2…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova

We present a new three-dimensional general relativistic hydrodynamics code, the Whisky code. This code incorporates the expertise developed over the past years in the numerical solution of Einstein equations and of the hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Luca Baiotti , Ian Hawke , Pedro J. Montero , Luciano Rezzolla

We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

We have developed a three-dimensional (3D) spectral hydrodynamic code to study vortex dynamics in rotating, shearing, stratified systems (e.g. the atmosphere of gas giant planets, protoplanetary disks around newly forming protostars). The…

Astrophysics · Physics 2009-11-13 Joseph A. Barranco , Philip S. Marcus

We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ry\l{}ko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of…

General Relativity and Quantum Cosmology · Physics 2024-07-31 Denis Dobkowski-Ryłko , Jerzy Lewandowski

We present a 3D special-relativistic radiation hydrodynamics code. It uses the radiative inversion scheme with the M1-closure relation for the radiation equations, which allows the treatment of a wide range of optical depth, temperature and…

High Energy Astrophysical Phenomena · Physics 2019-04-10 F. J. Rivera-Paleo , F. S. Guzmán

In this paper, we describe a new hydrodynamics code for 1D and 2D astrophysical simulations, BETHE-hydro, that uses time-dependent, arbitrary, unstructured grids. The core of the hydrodynamics algorithm is an arbitrary Lagrangian-Eulerian…

Astrophysics · Physics 2009-11-13 Jeremiah W. Murphy , Adam Burrows

The dyadic calculus is developed in a form suitable for the description of physical relations in curved space. The 4-space equations of hydrodynamics and electrodynamics are constructed using this dyadic calculus. As a demonstration of the…

Classical Physics · Physics 2007-05-23 Preston Jones

Modeling core-collapse supernovae (CCSNe) with neutrino transport in three dimensions (3D) requires tremendous computing resources and some level of approximation. We present a first comparison study of CCSNe in 3D with different physics…

We describe a Godunov-type magnetohydrodynamic (MHD) code based on the Miyoshi and Kusano (2005) solver which can be used to solve various astrophysical hydrodynamic and MHD problems. The energy equation is in the form of entropy…

Astrophysics of Galaxies · Physics 2015-12-16 A. V. Koldoba , G. V. Ustyugova , P. S. Lii , M. L. Comins , S. Dyda , M. M. Romanova , R. V. E. Lovelace

It has been argued that the energy content in time varying spacetimes can be obtained by using the approximate Lie symmetries of the geodesics equations in that spacetime. When applied to cylindrical gravitational waves, it gives a…

Astrophysics of Galaxies · Physics 2009-03-11 Asghar Qadir