Surface geometry of a rotating black hole in a magnetic field

Details Surface geometry of a rotating black hole in a magnetic field Surface geometry of a rotating black hole in a magnetic field

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.2780k&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 10, 15 May 1986, pp.2780-2787

Physics

12

Black Holes, Exact Solutions

Scientific paper

We study the intrinsic geometry of the surface of a rotating black hole in a uniform magnetic field, using a metric discovered by Ernst and Wild. Rotating black holes are analogous to material rotating bodies according to Smarr since black holes also tend to become more oblate on being spun up. Our study shows that the presence of a strong magnetic field ensures that a black hole actually becomes increasingly prolate on being spun up. Studying the intrinsic geometry of the black-hole surface also gives rise to an interesting embedding problem. Smarr shows that a Kerr black hole cannot be globally isometrically embedded in R3 if its specific angular momentum a exceeds (√3 /2)m~0.866. . .m. We show that in the presence of a magnetic field of strength B, satisfying 2- √3 <=B2m2<=2+ √3, a global isometric embedding is possible in R3 for all values of the angular momentum.

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