New Improved Schwarzschild Black Hole and Its Thermodynamics and Topological Classification
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918372619321344 |
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| author | Alencar, G. Crispim, T. M. Muniz, C. R. Nilton, M. |
| author_facet | Alencar, G. Crispim, T. M. Muniz, C. R. Nilton, M. |
| contents | We construct a renormalization-group improved Schwarzschild-like black hole geometry using the exact new scheme running for the Newton coupling. The scale identification is implemented via a standard interpolating proper-distance function that smoothly connects the ultraviolet and infrared regimes. We present the resulting coordinate-dependent coupling and the improved metric function, analyzing its asymptotic expansions. The large-distance limit is shown to recover the classical Schwarzschild solution, while the short-distance behavior exhibits a regular de Sitter-like core, demonstrating the regularization of the central singularity. We also analyze the thermodynamic properties of the solution, showing that quantum corrections significantly modify the small-radius behavior, leading to a remnant configuration and a nontrivial phase structure. Finally, we perform a topological classification of the thermodynamic phase space and demonstrate that asymptotically safe effects shift the critical point while preserving the global topological number of the Schwarzschild solution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_05130 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New Improved Schwarzschild Black Hole and Its Thermodynamics and Topological Classification Alencar, G. Crispim, T. M. Muniz, C. R. Nilton, M. General Relativity and Quantum Cosmology High Energy Physics - Theory We construct a renormalization-group improved Schwarzschild-like black hole geometry using the exact new scheme running for the Newton coupling. The scale identification is implemented via a standard interpolating proper-distance function that smoothly connects the ultraviolet and infrared regimes. We present the resulting coordinate-dependent coupling and the improved metric function, analyzing its asymptotic expansions. The large-distance limit is shown to recover the classical Schwarzschild solution, while the short-distance behavior exhibits a regular de Sitter-like core, demonstrating the regularization of the central singularity. We also analyze the thermodynamic properties of the solution, showing that quantum corrections significantly modify the small-radius behavior, leading to a remnant configuration and a nontrivial phase structure. Finally, we perform a topological classification of the thermodynamic phase space and demonstrate that asymptotically safe effects shift the critical point while preserving the global topological number of the Schwarzschild solution. |
| title | New Improved Schwarzschild Black Hole and Its Thermodynamics and Topological Classification |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.05130 |