Håkan Andréasson 2009 J. Phys.: Conf. Ser. 189 012001 doi:10.1088/1742-6596/189/1/012001
Sharp bounds on the compactness of relativistic charged spheres
Håkan Andréasson
Show affiliationsThe problem of finding an upper bound on the mass M of a charged spherically symmetric static object with area radius R and charge Q < M is addressed. This problem has resulted in a number of papers in recent years but neither a transparent nor a general inequality similar to the case without charge, i.e., M ≤ 4R/9, has been found. Here, we discuss the surprisingly transparent inequality
The inequality holds for any solution which satisfies p + 2pT ≤ ρ, where p ≥ 0 and pT are the radial- and tangential pressures respectively and ρ ≥ 0 is the energy density. Moreover, the inequality is sharp and in particular, sharpness holds for infinitely thin shell solutions.
- PACS
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04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
04.50.-h Higher-dimensional gravity and other theories of gravity
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- Subjects
- Dates
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Issue 1 (2009)
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Sharp bounds on the compactness of relativistic charged spheres
Håkan Andréasson 2009 J. Phys.: Conf. Ser. 189 012001
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