Local black holes are type D on the horizon

Details Local black holes are type D on the horizon Local black holes are type D on the horizon

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ncimb..83..113p&link_type=abstract

Nuovo Cimento B, Serie II (ISSN 0369-3554), vol. 83 B, Oct. 11, 1984, p. 113-126.

Astronomy and Astrophysics

Astronomy

5

Black Holes (Astronomy), Einstein Equations, Relativity, Space-Time Functions, Topology, Riemann Manifold, Spheres, Tensor Analysis, Toroids

Scientific paper

For the most general static and axisymmetric local black hole with (topologically) spherical or toroidal horizon a Riemann tensor is calculated, a Newman-Penrose null tetrad is constructed, Weyl scalars are evaluated and the algebraic type of the solutions is investigated. It is found that the spherical black holes are of Petrov type D on the horizon and on the axis of azimuthal symmetry, while the toroidal ones are of type D on the horizon and on the plane of the reflectional symmetry.

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