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Selection criteria for two-parameter solutions to scalar-tensor gravity
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We make a systematic investigation of the generic properties of static, spherically symmetric, asymptotically flat solutions to the field equations describing gravity minimally coupled to a nonlinear self-gravitating real scalar field. Seven corollaries and a theorem on selection criteria for two- and one-parametric solutions are proven and conditions for obtaining particle-like solution, black holes or naked singularities are derived. A series of exact solutions in closed forms describing different black holes, naked singularities and particle-like solutions are provided.
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Bound orbits near scalar field naked singularities
In scalar field naked singularities the lapse function has a global minimum, creating a stable static orbit for zero-angular-momentum particles that can mimic a black hole shadow, and nearby bound orbits precess backwards.
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