1.Institute of Contemporary Mathematics,Henan University,Kaifeng,China;2.School of Mathematics and Statistics,Henan University,Kaifeng,China
Abstract:
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.