Static and time-dependent solutions of Einstein-Maxwell-Yukawa fields

Mathematics

Scientific paper

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Einstein Equations, Field Theory (Physics), Maxwell Equation, Relativity, Singularity (Mathematics), Space-Time Functions, Time Dependence

Scientific paper

An exact solution to the Einstein-Maxwell-Yukawa (EMY) field equations has been obtained in a space-time with a static metric. A critical analysis reveals that the results previously obtained by Patel (1975), Singh (1974), and Taub (1951) are particular cases of the present solution. The singular behavior of the solutions has also been discussed. Further, extending the technique developed by Janis et al., (1969) for static fields to the case of nonstatic fields, an exact time-dependent axially symmetric solution of EMY fields has been obtained. The solution in the nonstatic case is nonsingular in the sense of Bonnor (1957) and presents a generalization of the results obtained by Misra (1962) to the case when a zero-mass scalar field coexists with a source-free electromagnetic field.

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