Topological dyonic Taub-Bolt/NUT-AdS solutions: Thermodynamics and first law

Abstract

Motivated by the absence of Misner string in the Euclidean Taub-Bolt/NUT solutions with flat horizons, we present a new treatment for studying the thermodynamics of these spactimes. This treatment is based on introducing a new charge, N = σ n (where n is the nut charge and σ is some constant) and its conjugate thermodynamic potential Φ N. Upon identifying one of the spatial coordinates, the boundary of these solutions contains two annulus-like surfaces in addition to the constant-r surface. For these solutions, we show that these annuli surfaces receive electric, magnetic and mass/energy fluxes, therefore, they have nontrivial contributions to these conserved charges. Calculating these conserved charges we find, Q

Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes

“…It should be pointed out that the previous works [3,4] advocated that the first law of thermodynamics could be satisfied by introducing new thermodynamical conjugate pairs while the thermodynamic mass remain unchanged. However, Awad et al [12] established the first law by modifying the thermodynamic mass without introducing a new thermodynamical conjugate pairs. In Appendix A, we also given a handful of consistent mass formulas for dyonic RN-NUT-AdS 4 spacetime similar as did in Ref.…”

“…In Appendix A, we also given a handful of consistent mass formulas for dyonic RN-NUT-AdS 4 spacetime similar as did in Ref. [12].…”

“…Appendix A: A handful of consistent mass formulas for dyonic Reissner-Nordström-NUT-AdS 4 spacetime Similar as did in Ref. [12], we can given a handful of consistent mass formulas for dyonic RN-NUT-AdS 4 spacetime as follows…”

“…In recent years, the thermodynamic properties of the Lorentzian Taub-NUT spacetime have attracted a lot of attention [1][2][3][4][5][6][7][8][9][10][11][12]. In particular, in our previous work [13], we have advocated a new idea that "the NUT charge is a thermodynamical multi-hair" and put forward a simple, systematic way to study the consistent thermodynamics of all four-dimensional NUT-charged spacetimes.…”

“…The consistent thermodynamic first law and Bekenstein-Smarr mass formulae of these NUTcharged spacetimes are deduced by first deriving a new meaningful Christodoulou-Ruffini-type squared-mass formula satisfied by the four-dimensional NUT-charged spacetimes with the imported new secondary hair J N = MN. It is worth noting that there is no derivation of the Christodoulou-Ruffinitype squared-mass formula [14,15] in the previous works [1][2][3][4][5][6][7][8][9][10][11][12]. As the fact that demonstrated in Ref.…”