Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity

Details Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity

2003-10-14

arxiv.org/abs/hep-th/0310134v1

Chapter 3 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Sta

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 46 pages

Scientific paper

We construct new classes of exact solutions in metric--affine gravity (MAG) with string corrections by the antisymmetric $H$--field. The solutions are parametrized by generic off--diagonal metrics possessing noncommutative symmetry associated to anholonomy framerelations and related nonlinear connection (N--connection) structure. We analyze the horizon and geodesic properties of a class of off--diagonal metrics with deformed spherical symmetries. The maximal analytic extension of ellipsoid type metrics are constructed and the Penrose diagrams are analyzed with respect to adapted frames. We prove that for small deformations (small eccentricities) there are such metrics that the geodesic behaviour is similar to the Schwarzcshild one. The new class of spacetimes do not possess Killing symmetries even in the limits to the general relativity and, in consequence, they are not prohibited by black hole uniqueness theorems. Such static ellipsoid (rotoid) configurations are compatible with the cosmic cenzorship criteria. We study the perturbations of two classes of static black ellipsoid solutions of four dimensional gravitational field equations. We conclude that such anisotropic black hole objects may be stable with respect to the perturbations parametrized by the Schrodinger equations in the framework of the one--dimensional inverse scattering theory.

Affiliated with

Also associated with

No associations

Rating

Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity 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 Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428564