Axisymmetric evolution of Einstein equations and mass conservation

Details Axisymmetric evolution of Einstein equations and mass conservation Axisymmetric evolution of Einstein equations and mass conservation

2008-04-16

arxiv.org/abs/0804.2679v3

Class.Quant.Grav.25:145021,2008; Erratum-ibid.26:129801,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

A mistake in the proof of Lemma 5.1 is corrected. This version includes the Corrigendum that appears in Class. Quantum Grav. 2

Scientific paper

10.1088/0264-9381/25/14/145021 1

For axisymmetric evolution of isolated systems, we prove that there exists a gauge such that the total mass can be written as a positive definite integral on the spacelike hypersurfaces of the foliation and the integral is constant along the evolution. The conserved mass integral controls the square of the extrinsic curvature and the square of first derivatives of the intrinsic metric. We also discuss applications of this result for the global existence problem in axial symmetry.

Affiliated with

Also associated with

No associations

Rating

Axisymmetric evolution of Einstein equations and mass conservation 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 Axisymmetric evolution of Einstein equations and mass conservation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axisymmetric evolution of Einstein equations and mass conservation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506214