Herlt metrics and gravitational-electrostatic balance in general relativity |
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Authors: | J Carminati F I Cooperstock |
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Institution: | (1) Department of Mathematics, Murdoch University, 6150 Murdoch, WA, Australia;(2) Department of Physics and Astronomy, University of Victoria, V8W 3P6 Victoria, BC, Canada |
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Abstract: | The balance problem in general relativity is reviewed. The transformation connecting the Herlt equations for electrovacuum and the Weyl equations for axially symmetric vacuum is given. This yields a new exact solution for the superposition of two separated Reissner-Nordström sources with a balance condition which depends upon their separation distance. This result has potential implications for averting gravitational collapse. Details of the singularity structure are also presented. |
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