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Bondi-type accretion in the Reissner-Nordstr\"om-(anti-)de Sitter spacetime

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arxiv 1509.07005 v2 pith:SMAYPCJW submitted 2015-09-23 gr-qc

Bondi-type accretion in the Reissner-Nordstr\"om-(anti-)de Sitter spacetime

classification gr-qc
keywords accretionsolutionsanalyticanti-binoculars-likeblackbondi-typecase
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In this paper I study stationary, spherically symmetric accretion of fluids onto a charged black hole in the presence of the cosmological constant. For some isothermal equations of state it is possible to obtain analytic solutions. In the case of a radiation fluid I point out a connection between locations of the horizons and the sonic (critical) points. In specific cases the solutions form closed, binoculars-like trajectories in a phase diagram of the velocity vs. radius.

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