Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems

Details Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems

1998-03-26

arxiv.org/abs/gr-qc/9803087v1

Phys.Rev. D58 (1998) 024005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 4 postscript figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.024005

Despite the fact that the Schwarzschild and Kerr solutions for the Einstein equations, when written in standard Schwarzschild and Boyer-Lindquist coordinates, present coordinate singularities, all numerical studies of accretion flows onto collapsed objects have been widely using them over the years. This approach introduces conceptual and practical complications in places where a smooth solution should be guaranteed, i.e., at the gravitational radius. In the present paper, we propose an alternative way of solving the general relativistic hydrodynamic equations in background (fixed) black hole spacetimes. We identify classes of coordinates in which the (possibly rotating) black hole metric is free of coordinate singularities at the horizon, independent of time, and admits a spacelike decomposition. In the spherically symmetric, non-rotating case, we re-derive exact solutions for dust and perfect fluid accretion in Eddington-Finkelstein coordinates, and compare with numerical hydrodynamic integrations. We perform representative axisymmetric computations. These demonstrations suggest that the use of those coordinate systems carries significant improvements over the standard approach, especially for higher dimensional studies.

Affiliated with

Also associated with

No associations

Rating

Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems 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 around Black Holes and Horizon Adapted Coordinate Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387159