Black Hole with Non-Commutative Hair

Details Black Hole with Non-Commutative Hair Black Hole with Non-Commutative Hair

1993-06-25

arxiv.org/abs/gr-qc/9306032v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, PRA-HEP-93/9

Scientific paper

The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by direct solving of the field equations. The asymptotically flat black hole with the ``non-commutative'' vector hair appears for the special choice of the integration constants, giving thus another counterexample to the famous ``no-hair'' theorem.

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