Perfect fluid and scalar field in the Reissner-Nordström metric
E. O. BabichevArnold Sommerfeld Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität München, D-80333, Munich, GermanyV. I. DokuchaevInstitute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, RussiaYu. N. EroshenkoInstitute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia
2011en
ABI
Abstract
We describe the spherically symmetric steady-state accretion of perfect fluid in the Reissner-Nordström metric. We present analytic solutions for accretion of a fluid with linear equations of state and of the Chaplygin gas. We also show that under reasonable physical conditions, there is no steady-state accretion of a perfect fluid onto a Reissner-Nordström naked singularity. Instead, a static atmosphere of fluid is formed. We discuss a possibility of violation of the third law of black hole thermodynamics for a phantom fluid accretion.
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