Physics
Scientific paper
Apr 1972
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972phrvd...5.1897b&link_type=abstract
Physical Review D, vol. 5, Issue 8, pp. 1897-1907
Physics
13
Scientific paper
The general-relativistic field equations are solved for a spherically symmetric static charged matter fluid in isotropic coordinates, and matched at the boundary R to the external Reissner-Nordström metric. No pressure, i.e., stress of undefined origin, is involved. There turns out to be one more unknown than equation, but consistency and continuity conditions severely restrict the solutions. It is found that the charged fluid can be in equilibrium even with a large em, such as for an electron considered as a fluid, but only if (1) there is a singularity in g44 at r=0, (2) the matter density ρm in the energy-momentum tensor is negative, and (3) the ratio ρeρm of charge to matter density is a variable function. The energy density (as opposed to the matter density) can be made everywhere positive in the coordinates used. A simple picture of how the forces balance can be made.
Bailyn M.
Eimerl David
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