Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes

Details Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes

1999-02-05

arxiv.org/abs/gr-qc/9902018v1

Phys.Rev. D61 (2000) 024015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 13 figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.024015

We introduce a formulation of Eulerian general relativistic hydrodynamics which is applicable for (perfect) fluid data prescribed on either spacelike or null hypersurfaces. Simple explicit expressions for the characteristic speeds and fields are derived in the general case. A complete implementation of the formalism is developed in the case of spherical symmetry. The algorithm is tested in a number of different situations, predisposing for a range of possible applications. We consider the Riemann problem for a polytropic gas, with initial data given on a retarded/advanced time slice of Minkowski spacetime. We compute perfect fluid accretion onto a Schwarzschild black hole spacetime using ingoing null Eddington-Finkelstein coordinates. Tests of fluid evolution on dynamic background include constant density and TOV stars sliced along the radial null cones. Finally, we consider the accretion of self-gravitating matter onto a central black hole and the ensuing increase in the mass of the black hole horizon.

Affiliated with

Also associated with

No associations

Rating

Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46679