Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant

Abstract

We proved that strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant could not support a nontrivial configuration of complex scalar fields. We considered the general case of the arbitrary number of U(1) gauge fields in the theory under consideration.

6 pages, RevTex, to be published in Phys.Rev.D15

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• Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field
• Lichnerowicz-Type Theorems for Self-gravitating Systems with Nonlinear Electromagnetic Fields