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Event horizon detecting invariants
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Date
2020-04-14
Author
Tavlayan, Aydın
Tekin, Bayram
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Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes inD > 3 dimensions, but they fail for the three dimensional Banados-Teitelboim-Zanelli (BTZ) black hole since all curvature invariants are constant. Here we provide an invariant characterization of the event horizon of the BTZ black hole using the curvature invariants of codimension one hypersurfaces instead of the full spacetime. Our method is also applicable to black holes in generic dimensions but is most efficient in three, four, and five dimensions. We give four dimensional Kerr, five dimensional Myers-Perry and three dimensional warped-anti-de Sitter, and the three dimensional asymptotically flat black holes as examples.
Subject Keywords
Physics and Astronomy (miscellaneous)
URI
https://hdl.handle.net/11511/34782
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.101.084034
Collections
Department of Physics, Article
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A. Tavlayan and B. Tekin, “Event horizon detecting invariants,”
PHYSICAL REVIEW D
, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34782.