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We report a new implementation for axisymmetric simulation in full general relativity. In this implementation, the Einstein equations are solved using the Nakamura-Shibata formulation with the so-called cartoon method to impose an…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Masaru Shibata

When a black hole is accreting well below the Eddington rate, a geometrically thick, radiatively inefficient state of the accretion disk is established. There is a limited number of closed-form physical solutions for geometrically thick…

高能天体物理现象 · 物理学 2018-06-20 Vojtěch Witzany , Pavel Jefremov

(Abridged) We here continue our effort to model the behaviour of matter when orbiting or accreting onto a generic black hole by developing a new numerical code employing advanced techniques geared solve the equations of in…

高能天体物理现象 · 物理学 2017-02-01 Zakaria Meliani , Yosuke Mizuno , Hector Olivares , Oliver Porth , Luciano Rezzolla , Ziri Younsi

We describe an axisymmetric general relativistic code for rotational core collapse. The code evolves the coupled system of metric and fluid equations using the ADM 3+1 formalism and a conformally flat metric approximation of the Einstein…

天体物理学 · 物理学 2009-11-07 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

The 2D time dependent solution of thin accretion disk in a close binary system have been presented on the equatorial plane around the Schwarzschild black hole. To do that, the special part of the General Relativistic Hydrodynamical(GRH)…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Orhan Donmez

We investigate relativistic low angular momentum accretion of inviscid perfect fluid onto a Schwarzschild black hole. The simulations are performed with a general-relativistic, high-resolution (second-order), shock-capturing, hydrodynamical…

广义相对论与量子宇宙学 · 物理学 2018-03-13 Patryk Mach , Michał Piróg , José A. Font

We investigate the possibility to approximate relativistic effects in hydrodynamical simulations of stellar core collapse and post-bounce evolution by using a modified gravitational potential in an otherwise standard Newtonian hydrodynamic…

天体物理学 · 物理学 2009-11-10 A. Marek , H. Dimmelmeier , H. -Th. Janka , E. Mueller , R. Buras

Pseudo-Newtonian gravitational potential introduced in spherically symmetric black-hole spacetimes with a repulsive cosmological constant is tested for equilibrium toroidal configurations of barotropic perfect fluid orbiting the black…

广义相对论与量子宇宙学 · 物理学 2010-02-04 Z. Stuchlik , P. Slany , J. Kovar

We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein equations. We focus on the theory in four dimensions, in presence of negative cosmological constant,…

高能物理 - 理论 · 物理学 2018-09-12 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

广义相对论与量子宇宙学 · 物理学 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We present a new three-dimensional fully general-relativistic hydrodynamics code using high-resolution shock-capturing techniques and a conformal traceless formulation of the Einstein equations. Besides presenting a thorough set of tests…

广义相对论与量子宇宙学 · 物理学 2011-09-30 L. Baiotti , I. Hawke , P. J. Montero , F. Loeffler , L. Rezzolla , N. Stergioulas , J. A. Font , E. Seidel

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

广义相对论与量子宇宙学 · 物理学 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We present the new code NADA-FLD to solve multi-dimensional neutrino-hydrodynamics in full general relativity (GR) in spherical polar coordinates. The energy-dependent neutrino transport assumes the flux-limited diffusion (FLD)…

高能天体物理现象 · 物理学 2019-10-23 Ninoy Rahman , Oliver Just , H. -Thomas Janka

We have written and tested a new general relativistic magnetohydrodynamics (GRMHD) code, capable of evolving MHD fluids in dynamical spacetimes with adaptive-mesh refinement (AMR). Our code solves the Einstein-Maxwell-MHD system of coupled…

高能天体物理现象 · 物理学 2010-10-27 Zachariah B. Etienne , Yuk Tung Liu , Stuart L. Shapiro

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…

广义相对论与量子宇宙学 · 物理学 2010-04-23 Luca Baiotti , Ian Hawke , Pedro J. Montero , Luciano Rezzolla

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

Brown has recently introduced a covariant formulation of the BSSN equations which is well suited for curvilinear coordinate systems. This is particularly desirable as many astrophysical phenomena are symmetric with respect to the rotation…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Pedro J. Montero , Isabel Cordero-Carrion

We present \texttt{SACRA-2D}, a new MPI and OpenMP parallelized, fully relativistic hydrodynamics (GRHD) code in dynamical spacetime under axial symmetry with the cartoon method using the finite-volume shock-capturing schemes for…

高能天体物理现象 · 物理学 2025-02-06 Alan Tsz-Lok Lam , Masaru Shibata

Four components of the axisymmetric Einstein equations in 2+1 dimensions with negative cosmological constant can be written as $\nabla_aM=\dots$ and $\nabla_aJ=\dots$, where the dots stand for stress-energy terms, and $M$ and $J$ are…

广义相对论与量子宇宙学 · 物理学 2021-08-10 Carsten Gundlach , Patrick Bourg , Alex Davey