MG11 
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Abstract

Black Holes in Scalar Field or Quintessential Cosmology

We consider the growth of black holes due to mass accretion in a universe containing a scalar field or a quintessence field. We take the cosmological expansion into account in general relativity. We show that there is no self-similar black hole solution surrounded by an exact or asymptotically flat Friedmann background containing a massless scalar field. This applies even if there is a scalar potential, as in the quintessence scenario. This extends the result previously found in the stiff fluid case. It also contradicts recent claims that such black holes can grow appreciably by accreting quintessence.