TY - JOUR

T1 - Relativistic hydrodynamic evolutions with black hole excision

AU - Duez, Matthew D.

AU - Shapiro, Stuart L.

AU - Yo, Hwei Jang

PY - 2004

Y1 - 2004

N2 - We present a numerical code designed to study astrophysical phenomena involving dynamical spacetimes containing black holes in the presence of relativistic hydrodynamic matter. We present evolutions of the collapse of a fluid star from the onset of collapse to the settling of the resulting black hole to a final stationary state. In order to evolve stably after the black hole forms, we excise a region inside the hole before a singularity is encountered. This excision region is introduced after the appearance of an apparent horizon, but while a significant amount of matter remains outside the hole. We test our code by evolving accurately a vacuum Schwarzschild black hole, a relativistic Bondi accretion flow onto a black hole, Oppenheimer-Snyder dust collapse, and the collapse of nonrotating and rotating stars. These systems are tracked reliably for hundreds of M following excision, where M is the mass of the black hole. We perform these tests both in axisymmetry and in full 3+1 dimensions. We then apply our code to study the effect of the stellar spin parameter [Formula Presented] on the final outcome of gravitational collapse of rapidly rotating [Formula Presented] polytropes. We find that a black hole forms only if [Formula Presented] in agreement with previous simulations. When [Formula Presented] the collapsing star forms a torus which fragments into nonaxisymmetric clumps, capable of generating appreciable “splash” gravitational radiation.

AB - We present a numerical code designed to study astrophysical phenomena involving dynamical spacetimes containing black holes in the presence of relativistic hydrodynamic matter. We present evolutions of the collapse of a fluid star from the onset of collapse to the settling of the resulting black hole to a final stationary state. In order to evolve stably after the black hole forms, we excise a region inside the hole before a singularity is encountered. This excision region is introduced after the appearance of an apparent horizon, but while a significant amount of matter remains outside the hole. We test our code by evolving accurately a vacuum Schwarzschild black hole, a relativistic Bondi accretion flow onto a black hole, Oppenheimer-Snyder dust collapse, and the collapse of nonrotating and rotating stars. These systems are tracked reliably for hundreds of M following excision, where M is the mass of the black hole. We perform these tests both in axisymmetry and in full 3+1 dimensions. We then apply our code to study the effect of the stellar spin parameter [Formula Presented] on the final outcome of gravitational collapse of rapidly rotating [Formula Presented] polytropes. We find that a black hole forms only if [Formula Presented] in agreement with previous simulations. When [Formula Presented] the collapsing star forms a torus which fragments into nonaxisymmetric clumps, capable of generating appreciable “splash” gravitational radiation.

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U2 - 10.1103/PhysRevD.69.104016

DO - 10.1103/PhysRevD.69.104016

M3 - Article

AN - SCOPUS:3042805684

VL - 69

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

ER -