Spherical Gravitating Condensers in General Relativity

Abstract

By a spherical gravitating condenser we mean two concentric charged shells made of perfect fluids restricted by the condition that the electric field is nonvanishing only between the shells. Flat space is assumed inside the inner shell. By using Israel's formalism we first analyze the general system of N shells and then concentrate on the two-shell condensers. Energy conditions are taken into account; physically interesting cases are summarized in two tables, but also more exotic situations in which, for example, the inner shell may occur below the inner horizon of the corresponding Reissner-Nordström geometry or the spacetime is curved only inside the condenser are considered. Classical limits are mentioned.

6 pages, 1 figure; v2: The 3-d strong energy condition was changed to the 2-d version which modified the last line in Table 1

References in corpus (5)

• Relativistic Structure, Stability and Gravitational Collapse of Charged Neutron Stars
• On the Brown-York quasilocal energy, gravitational charge, and black hole horizons
• Numeric simulation of relativistic stellar core collapse and the formation of Reissner-Nordstrom space-times
• Charged membrane as a source for repulsive gravity
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Cited by in corpus (3)

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• Electromagnetic sources distributed on shells in a Schwarzschild background
• Gravitational string-membrane hedgehog and internal structure of black holes