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arxiv: gr-qc/0304010 · v2 · submitted 2003-04-02 · 🌀 gr-qc · hep-th

A simple theorem to generate exact black hole solutions

classification 🌀 gr-qc hep-th
keywords solutionstheoremblackconditionsexactfamilyab-initioasymptotics
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Under certain conditions imposed on the energy-momentum tensor, a theorem that characterizes a two-parameter family of static and spherically symmetric solutions to Einstein's field equations (black holes), is proved. A discussion on the asymptotics, regularity, and the energy conditions is provided. Examples that include the best known exact solutions within these symmetries are considered. A trivial extension of the theorem includes the cosmological constant {\it ab-initio}, providing then a three-parameter family of solutions.

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  1. (Super-)renormalizable hairy meronic black holes

    hep-th 2026-04 unverdicted novelty 6.0

    Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.