Black Hole no-Hair Conjecture in Asymptotic de Sitter Spacetime

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We discuss the no-hair conjecture in the presence of a cosmological constant. For the first step the real scalar field is considered as the matter field and the spacetime is assumed to be static spherically symmetric. If the scalar field is massless or has a convex potential, there is no regular black hole solution. In a double well potential case we find black hole solution by numerical calculations. However new solutions are found to be unstable. As a result we can conclude that the no-scalar hair conjecture holds in the case of scalar fields with a convex or double well potential.

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