Consistency of the mass variation formula for black holes accreting cosmological fluids

Details Consistency of the mass variation formula for black holes accreting cosmological fluids Consistency of the mass variation formula for black holes accreting cosmological fluids

2011-11-02

arxiv.org/abs/1111.0585v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 figure. To appear in Gen. Rel. Grav

Scientific paper

10.1007/s10714-011-1318-z

We address the spherical accretion of generic fluids onto black holes. We show that, if the black hole metric satisfies certain conditions, in the presence of a test fluid it is possible to derive a fully relativistic prescription for the black hole mass variation. Although the resulting equation may seem obvious due to a form of it appearing as a step in the derivation of the Schwarzschild metric, this geometrical argument is necessary to fix the added degree of freedom one gets for allowing the mass to vary with time. This result has applications on cosmological accretion models and provides a derivation from first principles to serve as a base to the accretion equations already in use in the literature.

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