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Equilibrium configurations of perfect fluid in Reissner-Nordstrom-(anti)de Sitter spacetimes

Marginally stable perfect fluid tori with uniform distribution of specific angular momentum are determined in the Reissner-Nordstrom-(anti)de Sitter black-hole and naked-singularity spacetimes. The fluid toroidal configurations are allowed only in the spacetimes admitting existence of stable circular geodesics. The configurations with equipotential surfaces crossing itself in a cusp allow accretion (inner cusp) and/or excretion (outer cusp) of matter from the toroidal configuration. The classification of the Reissner-Nordstrom-(anti)de Sitter spacetimes according to the properties of the marginally stable tori is given. Further, we discuss the influence of the braneworld (tidal charge) parameter onto the toroidal configurations in spherically symmetric spacetimes with $ \Lambda \neq 0 $.

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