Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-07-17
Phys. Rev. D 84, 124022 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 2 figures; new figure and references added
Scientific paper
10.1103/PhysRevD.84.124022
We calculate analytically a back reaction of the stationary spherical accretion flow near the event horizon and near the inner Cauchy horizon of the charged black hole. It is shown that corresponding back-reaction corrections to the black hole metric depend only on the fluid accretion rate and diverge in the case of an extremely charged black hole. In result, the test fluid approximation for stationary accretion is violated for extreme black holes. This behavior of the accreting black hole is in accordance with the third law of black hole thermodynamics, forbidding the practical attainability of the extreme state.
Dokuchaev Vyacheslav I.
Eroshenko Yury N.
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