Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole

Details Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole

2010-03-07

arxiv.org/abs/1003.1453v1

Commun.Math.Phys.304:585-635,2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

46 pages

Scientific paper

10.1007/s00220-011-1243-8

We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given explicitly in terms of theta functions on a family of hyperelliptic Riemann surfaces of genus 4. In the absence of a disk, they reduce to the Kerr black hole. In the absence of a black hole, they reduce to the Neugebauer-Meinel disk.

Affiliated with

Also associated with

No associations

Rating

Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole 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 Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668040