Surface Geometry of 5D Black Holes and Black Rings

Details Surface Geometry of 5D Black Holes and Black Rings Surface Geometry of 5D Black Holes and Black Rings

2006-12-05

arxiv.org/abs/gr-qc/0612033v2

Phys.Rev.D75:124001,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 9 figures, Revtex4

Scientific paper

10.1103/PhysRevD.75.124001

We discuss geometrical properties of the horizon surface of five-dimensional rotating black holes and black rings. Geometrical invariants characterizing these 3D geometries are calculated. We obtain a global embedding of the 5D rotating black horizon surface into a flat space. We also describe the Kaluza-Klein reduction of the black ring solution (along the direction of its rotation) which relates this solution to the 4D metric of a static black hole distorted by the presence of external scalar (dilaton) and vector (`electromagnetic') field. The properties of the reduced black hole horizon and its embedding in $\E^3$ are briefly discussed.

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