Alberto Carrasco et al 2007 J. Phys.: Conf. Ser. 66 012012 doi:10.1088/1742-6596/66/1/012012
On perfect fluids and black holes in static equilibrium
Alberto Carrasco, Marc Mars and Walter Simon
Show affiliationsProofs of spherical symmetry of static black holes and of spherical symmetry of static perfect fluids normally require, a priori, "black holes only" or "fluid only". In a recent paper Shiromizu, Yamada and Yoshino [1] admit a priori (and exclude) coexistence of fluids and holes. This work assumes connectedness of the fluid region and the same assumptions on the equation of state as earlier papers on the "fluid only" case, and requires in addition an upper bound for the fluid mass in terms of the black holes masses. We discuss this paper. As a new result we show that there cannot exist static fluid shells (i.e. fluid regions of the topology of an annulus) even if one a priori admits, inside and outside the shell, any arrangement of black holes or additional matter which satisfies the energy condition.
- PACS
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04.70.-s Physics of black holes
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
04.20.Gz Spacetime topology, causal structure, spinor structure
- Subjects
- Dates
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Issue 1 (2007)
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On perfect fluids and black holes in static equilibrium
Alberto Carrasco et al 2007 J. Phys.: Conf. Ser. 66 012012
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