Sharp bounds on the compactness of relativistic charged spheres

Details Sharp bounds on the compactness of relativistic charged spheres Sharp bounds on the compactness of relativistic charged spheres

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009jphcs.189a2001a&link_type=abstract

Journal of Physics: Conference Series, Volume 189, Issue 1, pp. 012001 (2009).

Physics

Scientific paper

The 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.

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