On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes

Details On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes

2005-10-10

arxiv.org/abs/gr-qc/0510051v2

Adv. Theor. Math. Phys. 10 (2006) 503--523

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 5 figures, v2: minor changes

Scientific paper

In this paper, we prove that the 5-dimensional Schwarzschild-Tangherlini solution of the Einstein vacuum equations is orbitally stable (in the fully non-linear theory) with respect to vacuum perturbations of initial data preserving triaxial Bianchi IX symmetry. More generally, we prove that 5-dimensional vacuum spacetimes developing from suitable asymptotically flat triaxial Bianchi IX symmetric data and containing a trapped or marginally trapped homogeneous 3-surface possess a complete null infinity whose past is bounded to the future by a regular event horizon, whose cross-sectional volume in turn satisfies a Penrose inequality, relating it to the final Bondi mass. In particular, the results of this paper give the first examples of vacuum black holes which are not stationary exact solutions.

Affiliated with

Also associated with

No associations

Rating

On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes 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 On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-505405