Exact Solutions in Locally Anisotropic Gravity and Strings
@article{Vacaru1998ExactSI, title={Exact Solutions in Locally Anisotropic Gravity and Strings}, author={Sergiu I. Vacaru}, journal={arXiv: General Relativity and Quantum Cosmology}, year={1998}, volume={453}, pages={528-537} }
In this Report we outline some basic results on generalized Finsler–Kaluza–Klein gravity and locally anisotropic strings. There are investigated exact solutions for locally anisotropic Friedmann–Robertson–Walker universes and three dimensional and string black holes with generic anisotropy.
16 Citations
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References
SHOWING 1-10 OF 13 REFERENCES
Annals of Physics (NY) 256
- 39-61
- 1997
Nucl
- Phys. B434, 590–654
- 1997
Phys
- 37, 508–523
- 1997
The Geometry of Lagrange Spaces: Theory and Applications
- Mathematics
- 1993
I. Fibre Bundles, General Theory. II. Connections in Fibre Bundles. III. Geometry of the Total Space of a Vector Bundle. IV. Geometrical Theory of Embeddings of Vector Bundles. V. Einstein Equations.…
Annals of Physics (NY)
- Annals of Physics (NY)
- 1997
J. Math. Phys
- J. Math. Phys
- 1997
Phys
- Rep. 283, 303–378
- 1997
Phys. Rep
- Phys. Rep
- 1997
Int. J. Theor. Phys
- Int. J. Theor. Phys
- 1995
Phys
- Rev. Lett. 69, 1849- 1855 (1992); M. Henneaux, C. Teitelboim and J. Zanelli, Phys. Rev. D48 1506–1541
- 1993