Abstract
The stationary black hole solution of a Chern-Simons model based on the semi-simple extension of the Poincaré gauge group is studied. The solution resembles the metric properties of the BTZ geometry but contains, in addition, non-vanishing torsion. The global structure of spacetime is characterized by three conserved charges: two associated with the mass and angular momentum and one extra constant triggered by spacetime torsion. Consequently, we show that the entropy deviates from the standard Bekenstein-Hawking value and discuss the implications of torsional charges in the context of black hole thermodynamics.
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Acknowledgments
We thank Eloy Ayón-Beato, Fabrizio Canfora, Cristóbal Corral, Branislav Cvetkovic, Ernesto Frodden, Oscar Fuentealba, Joaquim Gomis, Fernando Izaurieta, José Martín-García, Niels Obers, Alfredo Pérez, Lárus Thorlacius, and Jorge Zanelli, for insightful discussions and comments. DH is supported by the Icelandic Research Fund via the Grant of Excellence titled “Quantum Fields and Quantum Geometry” and by the University of Iceland Research Fund. L.A. is supported by Fondecyt grants 3220805. OV acknowledges to ICE-CSIC and Fondecyt 11200742.
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Avilés, L., Hidalgo, D. & Valdivia, O. Thermodynamics of the three-dimensional black hole with torsion. J. High Energ. Phys. 2023, 185 (2023). https://doi.org/10.1007/JHEP09(2023)185
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DOI: https://doi.org/10.1007/JHEP09(2023)185