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Regularized Black Hole Solution from a New String Cloud Source
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DOI：10.1016/j.dark.2026.102272.png)
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Abstract
En 中文
We construct a new family of non-singular black hole solutions supported by the novel Letelier-Alencar string cloud by regularizing it through a rational Dagum-type distribution. The regulator smooths the matter profile and ensures finite curvature invariants, yielding a geometry that interpolates between a string-cloud exterior and an anti-de Sitter core. We analyze the energy conditions, identifying where the null, weak, dominant, and strong conditions hold or fail across the core and exterior, given the regularity of the solution. The parameter space for horizon formation is mapped and the thermodynamic properties, namely, mass, Hawking temperature, entropy, heat capacity, and Gibbs free energy, are derived; notably, the entropy depends only on the regularization scale while the string parameter modifies temperature and heat capacity. Employing Rényi’s non-extensive entropy and the approach of topological thermodynamics, we show that the non-extensive deformation stabilizes the system and eliminates the standard phase transition, leaving only a single thermodynamically stable black hole state. Finally, we compute the shadow radius and derive constraints compatible with the current Event Horizon Telescope bounds for Sgr A* and M87*.
Keywords:
Regular black holes
String cloud
Anti–de Sitter core
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