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Journal Article

Spherical gravitating condensers in general relativity


Bicak,  Jiri
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Gürlebeck,  Norman
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bicak, J., & Gürlebeck, N. (2010). Spherical gravitating condensers in general relativity. Physical Review D., 81(10): 104022. doi:10.1103/PhysRevD.81.104022.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-CBE1-2
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.