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Exact solutions for discs around stationary black holes

Published online by Cambridge University Press:  01 August 2006

N. Požár ,
O. Semerák ,
J. Šácha ,
M. Žáček  and
T. Zellerin
N. Požár
Affiliation:
Inst. of Theor. Physics, Faculty of Maths and Phys., Charles Univ., Prague, Czech Republic email: oldrich.semerak@mff.cuni.cz
O. Semerák
Affiliation:
Inst. of Theor. Physics, Faculty of Maths and Phys., Charles Univ., Prague, Czech Republic email: oldrich.semerak@mff.cuni.cz
J. Šácha
Affiliation:
Inst. of Theor. Physics, Faculty of Maths and Phys., Charles Univ., Prague, Czech Republic email: oldrich.semerak@mff.cuni.cz
M. Žáček
Affiliation:
Inst. of Theor. Physics, Faculty of Maths and Phys., Charles Univ., Prague, Czech Republic email: oldrich.semerak@mff.cuni.cz
T. Zellerin
Affiliation:
Inst. of Theor. Physics, Faculty of Maths and Phys., Charles Univ., Prague, Czech Republic email: oldrich.semerak@mff.cuni.cz
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Abstract

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Black holes surrounded by axisymmetric structures prosper in some of the most interesting sources in the universe. However, a consistent exact description of the gravitational field of these systems is still lacking. In a static case, the task reduces to Laplace equation and the fields of multiple sources follow by mere superposition. In a rotating case, non-linearity of the Einstein equations resists simple grasp, but even then the theory of completely integrable systems seems to verge on satisfactory solutions. It seeks them in terms of θ-functions on special manifolds connected – symptomatically – with the names of Riemann and Hilbert.

Keywords

Accretion disks – black hole physics – gravitation – relativity
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S238: Black Holes from Stars to Galaxies – Across the Range of Masses , August 2006 , pp. 433 - 434
Copyright
Copyright © International Astronomical Union 2007

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