The Solutions of the Coupled Einstein-Maxwell Equations and Dilaton Equations
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In this paper, we consider extremely charged static perfect fluid distributions with a dilaton field in the framework of general relativity. By using calculus of variations, we establish the existence theorem for the solutions of this important gravitational system. We show that there is a continuous family of smooth solutions realizing asymptotically flat space metrics.
Keywordsnonlinear elliptic equations the variational method the asymptotic estimates
2000 MR Subject Classification35J20 83C05
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