Exact relativistic treatment of stationary black-hole disk systems

Details Exact relativistic treatment of stationary black-hole disk systems Exact relativistic treatment of stationary black-hole disk systems

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..68b7501k&link_type=abstract

Physical Review D, vol. 68, Issue 2, id. 027501

Physics

20

Exact Solutions, Partial Differential Equations

Scientific paper

We present and discuss a class of exact solutions to the stationary axisymmetric Einstein equations which describe a regular black hole surrounded by a disk of infinite extension with finite inner radius. The spacetimes are asymptotically flat and equatorially symmetric. They form a subclass of Korotkin’s solutions to the Ernst equation on partially degenerate hyperelliptic Riemann surfaces of genus g+2. The metric is given explicitly in terms of theta functions on a surface of genus g. The case of genus zero when the solutions are given in terms of elementary functions is discussed in detail.

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