Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-05-24
Phys.Rev.D76:044020,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Accepted for publication in PRD, minor typographical corrections, references updated, 25 pages, 22 eps figures
Scientific paper
10.1103/PhysRevD.76.044020
We present a new technique for time-domain numerical evolution of the scalar field generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers an efficient way for calculating black hole perturbations, especially as input for computations of the local self force acting on orbiting particles. In Kerr geometry, the field equations are not fully separable in the time domain, and one has to tackle them in 2+1 dimensions (two spatial dimensions and time; the azimuthal dependence is still separable). A technical difficulty arises when the source of the field is a pointlike particle, as the 2+1-dimensional perturbation is then singular: Each of the azimuthal modes diverges logarithmically at the particle. To deal with this problem we split the numerical domain into two regions: Inside a thin worldtube surrounding the particle's worldline we solve for a regularized variable, obtained from the full field by subtracting out a suitable ``puncture'' function, given analytically. Outside this worldtube we solve for the full, original field. The value of the evolution variable is adjusted across the boundary of the worldtube. In this work we demonstrate the applicability of this method in the example of circular orbits around a Schwarzschild black hole (refraining from exploiting the spherical symmetry of the background, and working in 2+1 dimensions).
Barack Leor
Golbourn Darren A.
No associations
LandOfFree
Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions 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 Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-606429