The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order

Details The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order

2001-01-19

arxiv.org/abs/gr-qc/0101081v1

Phys.Rev.D63:064012,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 2 tables, 4 figures Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.63.064012

Using the analytic, global solution for the rigidly rotating disc of dust as a starting point, an iteration scheme is presented for the calculation of an arbitrary coefficient in the post-Newtonian (PN) approximation of this solution. The coefficients were explicitly calculated up to the 12th PN level and are listed in this paper up to the 4th PN level. The convergence of the series is discussed and the approximation is found to be reliable even in highly relativistic cases. Finally, the ergospheres are calculated at increasing orders of the approximation and for increasingly relativistic situations.

Affiliated with

Also associated with

No associations

Rating

The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order 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 The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Post-Newtonian Approximation of the Rigidly Rotating Disc of Dust to Arbitrary Order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-72461