Selection criteria for two-parameter solutions to scalar-tensor gravity

TL;DR

This paper systematically investigates static, spherically symmetric solutions in scalar-tensor gravity, deriving criteria for different types of solutions and providing exact solutions for black holes, naked singularities, and particle-like objects.

Contribution

It introduces new selection criteria for classifying solutions in scalar-tensor gravity and presents exact solutions for various astrophysical objects.

Findings

Derived conditions for black holes, naked singularities, and particle-like solutions.

Proven seven corollaries and a theorem on solution classification.

Provided explicit exact solutions in closed form.

Abstract

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.