Slices of the Kerr ergosurface

Details Slices of the Kerr ergosurface Slices of the Kerr ergosurface

2008-09-13

arxiv.org/abs/0809.2369v2

Class.Quant.Grav.26:055014,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 6 figures; v.2: minor editing for clarification, references added, typos fixed, version published in Classical and Q

Scientific paper

10.1088/0264-9381/26/5/055014

The intrinsic geometry of the Kerr ergosurface on constant Boyer-Lindquist (BL), Kerr, and Doran time slices is characterized. Unlike the BL slice, which had been previously studied, the other slices (i) do not have conical singularities at the poles (except the Doran slice in the extremal limit), (ii) have finite polar circumference in the extremal limit, and (iii) for sufficiently large spin parameter fail to be isometrically embeddable as a surface of revolution above some latitude. The Doran slice develops an embeddable polar cap for spin parameters greater than about 0.96.

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