Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917358828781568 |
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| author | Radomirov, M. Rashkov, R. C. Stoilov, G. S. Vetsov, T. |
| author_facet | Radomirov, M. Rashkov, R. C. Stoilov, G. S. Vetsov, T. |
| contents | We apply a finite-time geometric optimization framework to investigate thermal fluctuations and (non)equilibrium optimal processes in the $(2+1)$-dimensional BTZ black hole. Employing Hessian thermodynamic information metrics, we construct geodesic trajectories that define optimal protocols connecting distinct thermodynamic configurations. Finite-time state transitions are described by paths that extremize entropy production or energy dissipation, depending on the chosen thermodynamic representation. This work presents the first formulation of a geometric optimal control theory for the BTZ black hole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole Radomirov, M. Rashkov, R. C. Stoilov, G. S. Vetsov, T. General Relativity and Quantum Cosmology We apply a finite-time geometric optimization framework to investigate thermal fluctuations and (non)equilibrium optimal processes in the $(2+1)$-dimensional BTZ black hole. Employing Hessian thermodynamic information metrics, we construct geodesic trajectories that define optimal protocols connecting distinct thermodynamic configurations. Finite-time state transitions are described by paths that extremize entropy production or energy dissipation, depending on the chosen thermodynamic representation. This work presents the first formulation of a geometric optimal control theory for the BTZ black hole. |
| title | Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.06931 |