Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908960496287744 |
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| author | Andrianopoli, Laura Đorđević, Dušan Miskovic, Olivera |
| author_facet | Andrianopoli, Laura Đorđević, Dušan Miskovic, Olivera |
| contents | We investigate properties of the five-dimensional Chern--Simons AdS black hole coupled to $\mathrm{SU}(2)$ solitons by means of a minisuperspace approximation adapted to static, spherically symmetric configurations. The reduced action reproduces the known branch of solutions and provides a variational framework in which the boundary terms determine the conserved quantities and their conjugate variables. In particular, we recover the energy and the $\mathrm{U}(1)$ charge previously obtained by Hamiltonian methods, while the enlarged parameter space also reveals a momentum conjugate to the trace-torsion mode. The Euclidean action yields an entropy satisfying the first law of black hole thermodynamics. In contrast to many other torsional black hole models, the axial torsion parameter, describing the secondary black hole hair, together with the trace-torsion mode, contributes nontrivially to the entropy. The expression for the entropy obtained in this way is further confirmed by the other two methods found in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons Andrianopoli, Laura Đorđević, Dušan Miskovic, Olivera High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate properties of the five-dimensional Chern--Simons AdS black hole coupled to $\mathrm{SU}(2)$ solitons by means of a minisuperspace approximation adapted to static, spherically symmetric configurations. The reduced action reproduces the known branch of solutions and provides a variational framework in which the boundary terms determine the conserved quantities and their conjugate variables. In particular, we recover the energy and the $\mathrm{U}(1)$ charge previously obtained by Hamiltonian methods, while the enlarged parameter space also reveals a momentum conjugate to the trace-torsion mode. The Euclidean action yields an entropy satisfying the first law of black hole thermodynamics. In contrast to many other torsional black hole models, the axial torsion parameter, describing the secondary black hole hair, together with the trace-torsion mode, contributes nontrivially to the entropy. The expression for the entropy obtained in this way is further confirmed by the other two methods found in the literature. |
| title | Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.11894 |