On embeddings of the Kerr geometry

Details On embeddings of the Kerr geometry On embeddings of the Kerr geometry

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cajph..59..688s&link_type=abstract

Canadian Journal of Physics, vol. 59, May 1981, p. 688-692.

Astronomy and Astrophysics

Astrophysics

8

Astrophysics, Black Holes (Astronomy), Embedding, Metric Space, Space-Time Functions, Stellar Rotation, Bodies Of Revolution, Mathematical Models, Surface Geometry

Scientific paper

Isometric embeddings of three two-dimensional surfaces in the Kerr metric representation of a rotating black hole are discussed. Following a brief review of the procedure for embedding an arbitrary surface of revolution in Euclidean three-space, the Boyer-Lindquist coordinate representation of the Kerr metric is presented in the general case and for the equatorial plane, the event horizon and the ergosurface. Embeddings of these surfaces in Euclidean three-space are then illustrated for different values of the specific angular momentum of the black hole. It is pointed out that the three different surfaces discussed together reveal the correct intrinsic properties of the Kerr metric.

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