# Noncommutative symmetries and stability of black ellipsoids in metric affine and string gravity

@article{Vacaru2003NoncommutativeSA, title={Noncommutative symmetries and stability of black ellipsoids in metric affine and string gravity}, author={Sergiu I. Vacaru and Evghenii Gaburov}, journal={arXiv: High Energy Physics - Theory}, year={2003}, pages={163-218} }

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…

## 5 Citations

### Ju l 2 00 4 Lagrange – Fedosov Nonholonomic Manifolds

- Mathematics
- 2008

We outline an unified approach to geometrization of Lagrange mechanics, Finsler geometry and geometric methods of constructing exact solutions with generic off–diagonal terms and nonholonomic…

### Lagrange–Fedosov nonholonomic manifolds

- Mathematics
- 2005

We outline a unified approach to geometrization of Lagrange mechanics, Finsler geometry and geometric methods of constructing exact solutions with generic off-diagonal terms and nonholonomic…

### Nonlinear connections and spinor geometry

- MathematicsInt. J. Math. Math. Sci.
- 2004

Strong arguments for application of Finsler-like geometries in modern string and gravity theory, noncommutative geometry and noncommUTative field theory, and gravity are emphasized.

### Nonholonomic Clifford Structures and Noncommutative Riemann-Finsler Geometry

- Mathematics
- 2004

We survey the geometry of Lagrange and Finsler spaces and discuss the issues related to the definition of curvature of nonholonomic man- ifolds enabled with nonlinear connection structure. It is…

### Nonlinear connections and exact solutions in Einstein and extra dimension gravity

- Physics
- 2004

We outline a new geometric method of constructing exact solutions of gravitational field equations parametrized by generic off–diagonal metrics, anholonomic frames and possessing, in general,…

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