Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams
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| Format: | Preprint |
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2025
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| author | AlBarqawy, Amr Awad, Adel Elkhateeb, Esraa Tharwat, Mohamed |
| author_facet | AlBarqawy, Amr Awad, Adel Elkhateeb, Esraa Tharwat, Mohamed |
| contents | Motivated by the recent developments in the thermodynamics of Taub-NUT spaces and the absence of Misner strings in Taub-NUT solutions with flat horizons, we investigated the phase structure of dyonic Taub-NUT solutions. We follow the treatment proposed in arXiv:2206.09124 and arXiv:2304.06705 to introduce the nut parameter as a conserved charge to the first law. Although the calculated quantities satisfy the first law, we have found a larger class of charges that satisfy the first law and depend on some arbitrary parameter which we call $α$. We choose to describe phase diagrams as NUT parameter-Temperature graphs to show borders of big and small black hole phases. We study the phase structure of these spaces in a mixed ensemble (i.e., we fix the electric potential, the nut parameter, and the magnetic charge), which we classify into different cases depending on the value of $α$. In some of these cases we have first-order phase transitions that end with critical points. These classes could include up to four critical points, again, depending on $α$ and the other quantities. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_19511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams AlBarqawy, Amr Awad, Adel Elkhateeb, Esraa Tharwat, Mohamed General Relativity and Quantum Cosmology High Energy Physics - Theory Motivated by the recent developments in the thermodynamics of Taub-NUT spaces and the absence of Misner strings in Taub-NUT solutions with flat horizons, we investigated the phase structure of dyonic Taub-NUT solutions. We follow the treatment proposed in arXiv:2206.09124 and arXiv:2304.06705 to introduce the nut parameter as a conserved charge to the first law. Although the calculated quantities satisfy the first law, we have found a larger class of charges that satisfy the first law and depend on some arbitrary parameter which we call $α$. We choose to describe phase diagrams as NUT parameter-Temperature graphs to show borders of big and small black hole phases. We study the phase structure of these spaces in a mixed ensemble (i.e., we fix the electric potential, the nut parameter, and the magnetic charge), which we classify into different cases depending on the value of $α$. In some of these cases we have first-order phase transitions that end with critical points. These classes could include up to four critical points, again, depending on $α$ and the other quantities. |
| title | Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.19511 |