https://doi.org/10.1140/epjc/s10052-023-11782-7
Regular Article - Theoretical Physics
Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
School of Physics and Astronomy, China West Normal University, 637002, Nanchong, Sichuan, People’s Republic of China
Received:
21
May
2023
Accepted:
28
June
2023
Published online:
10
July
2023
In this paper, we derive the consistent thermodynamics of the four-dimensional Lorentzian Reissner-Nordström-NUT (RN-NUT), Kerr–Newman-NUT (KN-NUT), and RN-NUT-AdS spacetimes in the framework of the (
)-pair formalism, and then investigate their topological numbers by using the uniformly modified form of the generalized off-shell Helmholtz free energy. We find that these solutions can be included into one of three categories of those well-known black hole solutions, which implies that these spacetimes should be viewed as generic black holes from the perspective of the topological thermodynamic defects. In addition, we demonstrate that although the existence of the NUT charge parameter seems to have no impact on the topological number of the charged asymptotically locally flat spacetimes, it has a remarkable effect on the topological number of the charged asymptotically locally AdS spacetime.
© The Author(s) 2023
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