A no-go on strictly stationary spacetimes in four/higher dimensions

Abstract

We show that strictly stationary spacetimes cannot have non-trivial configurations of form fields/complex scalar fields and then the spacetime should be exactly Minkowski or anti-deSitter spacetimes depending on the presence of negative cosmological constant. That is, self-gravitating complex scalar fields and form fields cannot exist.

8 pages

References in corpus (1)

• Classical Yang-Mills black hole hair in anti-de Sitter space

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