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Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes (2302.01100v4)

Published 2 Feb 2023 in gr-qc and hep-th

Abstract: In this paper, via employing the uniformly modified form of the generalized off-shell Helmholtz free energy, we investigate the topological numbers for the four-dimensional neutral Lorentzian Taub-NUT, Taub-NUT-AdS and Kerr-NUT spacetimes, and find that these solutions can also be classified into one of three types of those well-known black hole solutions, which implies that these spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach.

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