The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars

Details The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars

2010-10-12

arxiv.org/abs/1010.2421v1

Proc.Roy.Soc.Lond.A467:1701-1718,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

10.1098/rspa.2010.0535

In this article we construct a geometric invariant for initial data sets for the vacuum Einstein field equations $(\mathcal{S},h_{ab},K_{ab})$, such that $\mathcal{S}$ is a 3-dimensional manifold with an asymptotically Euclidean end and an inner boundary $\partial \mathcal{S}$ with the topology of the 2-sphere. The hypersurface $\mathcal{S}$ can be though of being in the domain of outer communication of a black hole or in the exterior of a star. The geometric invariant vanishes if and only if $(\mathcal{S},h_{ab},K_{ab})$ is an initial data set for the Kerr spacetime. The construction makes use of the notion of Killing spinors and of an expression for a \emph{Killing spinor candidate} which can be constructed out of concomitants of the Weyl tensor.

Affiliated with

Also associated with

No associations

Rating

The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars 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 "non-Kerrness" of domains of outer communication of black holes and exteriors of stars, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608700