COMMENTS, REPLIES AND NOTES: A two-parameter family of exact asymptotically flat solutions to the Einstein-scalar field equations

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Scientific paper

We consider a static spherically symmetric real scalar field, minimally coupled to Einstein gravity. A two-parameter family of exact asymptotically flat solutions is obtained by using the inverse problem method. This family includes non-singular solutions, black holes and naked singularities. For each of these solutions the respective potential is partially negative but positive near spatial infinity.

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