Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1106.83014
Dafermos, Mihalis; Holzegel, Gustav
On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes. (English)
[J] Adv. Theor. Math. Phys. 10, No. 4, 503-523 (2006). ISSN 1095-0761; ISSN 1095-0753/e

The authors prove that the five-dimensional Schwarzschild--Tangherlini solution of the Einstein vacuum equations is orbitally stable with respect to vacuum perturbations of initial data preserving triaxial Bianchi-IX symmetry. The authors prove, that five-dimensional vacuum spacetimes developing from suitable asymptotically flat triaxial Bianchi-IX symmetric initial data and containing a trapped or marginally trapped homogeneous 3-surface necessarily 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.
[Alex Gaina (Chisinau)]

MSC 2000:: *83C57 Black holes
83C20 Classes of solutions of equations in general relativity
83E15 Higher-dimensional field theories

Keywords: Schwarzschild--Tangherlini gravitational field; 5-dimensional space-time; Bianchi-IX symmetry; triaxial Bianchi-IX symmetry; orbital stability; Penrose inequality

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]