Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
High-energy Physics and Cosmology

Accretion of dark energy onto black holes

E. O. Babichev^a, V. I. Dokuchaev^b, Yu. N. Eroshenko<sup>b

a</sup> Laboratoire de Physique Theorique d'Orsay, Université Paris-Sud 11, Orsay Cedex, F-91405, France
^b Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia

Abstract: The stationary accretion of dark energy onto black holes is studied. General expressions are derived for the accretion rate of an ideal fluid with an arbitrary equation of state and for scalar fields. The black hole mass was found to decrease for the accretion of phantom energy with $p+\rho<0$. We also study the back reaction of accreting matter onto the metrics of a black hole in a perturbative way. The general expressions for corrections to the metric coefficients are found.

Keywords: black holes, dark energy, accretion.

UDC: 53.01:524.882

MSC: Primary 83C57; Secondary 83C55, 83C75

Original article submitted 12/XI/2012
revision submitted – 01/II/2013

DOI: 10.14498/vsgtu1157

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