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arXiv · gr-qc/9912055

Gravitational fields of rotating disks and black holes

Reinhard Meinel
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Abstract

The two known exact solutions of Einstein's field equations describing rotating objects of physical significance - a black hole and a rigidly rotating disk of dust - are discussed using a single mathematical framework related to Jacobi's inversion problem. Both solutions can be represented in such a form that they differ in the choice of a complex parameter and a real solution of the axisymmetric Laplace equation only. A recently found family of solutions describing differentially rotating disks of dust fits into the same scheme.

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Reinhard Meinel. 1999-12-14. Gravitational fields of rotating disks and black holes. https://doi.org/10.1002/(sici)1521-3889(200005)9%3A3%2F5%3C335%3A%3Aaid-andp335%3E3.0.co%3B2-d

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