Excision boundary conditions for the conformal metric

Details Excision boundary conditions for the conformal metric Excision boundary conditions for the conformal metric

2008-10-24

arxiv.org/abs/0810.4493v1

Phys.Rev.D78:104016,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, revtex4, accepted by Physical Review D

Scientific paper

10.1103/PhysRevD.78.104016

Shibata, Ury\=u and Friedman recently suggested a new decomposition of Einstein's equations that is useful for constructing initial data. In contrast to previous decompositions, the conformal metric is no longer treated as a freely-specifiable variable, but rather is determined as a solution to the field equations. The new set of freely-specifiable variables includes only time-derivatives of metric quantities, which makes this decomposition very attractive for the construction of quasiequilibrium solutions. To date, this new formalism has only been used for binary neutron stars. Applications involving black holes require new boundary conditions for the conformal metric on the domain boundaries. In this paper we demonstrate how these boundary conditions follow naturally from the conformal geometry of the boundary surfaces and the inherent gauge freedom of the conformal metric.

Affiliated with

Also associated with

No associations

Rating

Excision boundary conditions for the conformal metric 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 Excision boundary conditions for the conformal metric, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Excision boundary conditions for the conformal metric will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698866