Abstract
Static spherically symmetric black holes and particle like solutions with self interacting minimally coupled scalar field $$\varphi $$ are analyzed. They are asymptotically flat or anti-de Sitter (AdS). We express them in terms of a single function $$\rho $$ which undergoes simple conditions. If $$\varphi $$ is nontrivial the ADM mass $$M$$ has to be positive. No-hair theorems are generalized to the AdS asymptotic. For both asymptotics the Killing horizon is nondegenerate and its radius cannot be bigger than $$2M$$ . Derivatives of $$\rho $$ at singularity determine properties of admissible potentials $$V(\varphi )$$ as regularity, boundedness and behavior for maximal values of $$\varphi $$ . Several classes of solutions with singular or nonsingular potentials are obtained. Their examples are presented in a form of plots.
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