Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime

Journal Article · Wed Mar 03 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)039· OSTI ID:1850998

Mann, Robert B. ^[1]; Pando Zayas, Leopoldo A. ^[2]; Park, Miok ^[3]

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1. Univ. of Waterloo, ON (Canada). Dept. of Physics and Astronomy
2. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics; The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
3. Korea Inst. for Advanced Study, Seoul (Korea, Republic of). School of Physics

We examine the thermodynamics of Euclidean dyonic Taub-Nut/Bolt-AdS₄black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dyonic Reissner-Nordstrom counterpart. For the Nut solution, the gauge field vanishes at the horizon and so regularity is ensured. For the Bolt solution we find that the norm of the gauge field is required to vanish at the horizon in order to satisfy both regularity and the first law of thermodynamics. This regularity condition yields a constraint on the electric and magnetic charges and so reduces cohomogeneity of the system; for spherical horizons, the regularity condition removing the Misner string singularity further reduces cohomogeneity. We observe that bolt solutions with increasing electric charge have positive heat capacity, but upon turning on the magnetic charge to make the solution dyonic, we find that the properties of the uncharged one are retained, having both positive and negative heat capacity. We also study the extremal Bolt solution, finding that Misner string disappears at the horizon in the zero temperature limit. We find that the extremal solution has finite-temperature-like behaviour, with the electric potential playing a role similar to temperature.

• Research Organization: Univ. of Michigan, Ann Arbor, MI (United States)
• Sponsoring Organization: National Research Foundation of Korea (NRF); USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0007859; 2016R1D1A1B03933399
• OSTI ID: 1850998
• Alternate ID(s): OSTI ID: 1864663
• Journal Information: Journal of High Energy Physics (Online), Vol. 2021, Issue 3; ISSN 1029-8479
• Publisher: Springer Nature
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
Physics
Black holes
Classical theories of gravity