Thermodynamics of Taub-NUT/bolt black holes in Einstein-Maxwell gravity

Dehghani, M.; Khodam-Mohammadi, A.

doi:10.1103/physrevd.73.124039

Cited by 39 publications

(75 citation statements)

References 47 publications

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“…and satisfy the Smarr formula that follows from scaling, which is of the same form as in the NUT case -see (36). Note that, once again, the basic formula for the thermodynamic volume of the bolts is unaltered by the higher-curvature terms [41].…”

Section: Taub-bolt Solutionsmentioning

confidence: 88%

NUTs and bolts beyond Lovelock

Bueno

Cano

Hennigar

et al. 2018

J. High Energ. Phys.

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We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several fourand six-dimensional higher-curvature theories of gravity with various base spaces B. In D = 4, we consider Einsteinian cubic gravity, for which we construct solutions with B = S 2 , T 2 . These represent the first generalizations of the Einstein gravity Taub-NUT/bolt solutions for any highercurvature theory in four dimensions. In D = 6, we show that no new solutions are allowed for any Generalized quasi-topological gravity at cubic order. They exist however when we consider quartic Quasi-topological and Generalized quasi-topological terms, for which we construct new solutions with B = CP 2 , S 2 × S 2 , S 2 × T 2 , T 2 × T 2 . In all cases, the solutions are characterized by a single metric function, and they reduce to the corresponding ones in Einstein gravity when the higher-curvature couplings are set to zero. While the explicit profiles must be constructed numerically (except for a few cases), we obtain fully analytic expressions for the thermodynamic properties of all solutions. The new solutions present important differences with respect to Einstein gravity, including regular bolts for arbitrary values of the NUT charge, critical points, and re-entrant phase transitions.

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Section: Taub-bolt Solutionsmentioning

confidence: 88%

NUTs and bolts beyond Lovelock

Bueno

Cano

Hennigar

et al. 2018

J. High Energ. Phys.

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“…Let us also note here the 'regularity condition' imposed in the literature, see [16,28,29], namely, that the vector potential A has to vanish on the horizon. This requires h(r + ) = 0 and yields…”

Section: Nutty Dyonmentioning

confidence: 99%

“…Let us first revise the 'standard thermodynamics' [16,28,29] where the condition (8), h(r + ) = 0, or…”

Section: B Electric First Lawmentioning

confidence: 99%

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Thermodynamics and phase transitions of NUTty dyons

Ballon

Gray

Kubizňák

2019

J. High Energ. Phys.

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Picking up the threads on a recent proposal [1], we show how to formulate consistent thermodynamics of Lorentzian Taub-NUT spacetimes in the presence of electric and magnetic charges. Namely, with an entropy identified with a quarter of the horizon area and no Misner time periodicity condition imposed, we show that a new pair of conjugate quantities can be introduced so that the NUT parameter can be independently varied and the corresponding first law and Smarr relation can be consistently formulated. Moreover, we show that (contrary to the statements in the literature) the electric and magnetic parameters need not be proportional to one another and a full cohomogeneity first law including variations of both charges can be written down, provided one charge is considered on the horizon and the other at infinity. The corresponding phase transitions are also briefly discussed. * aballonbordo@perimeterinstitute.ca † fgray@perimeterinstitute.ca ‡ dkubiznak@perimeterinstitute.ca arXiv:1904.00030v1 [hep-th]

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“…b , I are respectively the proper surface terms for Hilbert-Einstein [33], Gauss-Bonnet [34,35], third order [36] and fourth order quasi-topological [37] gravities which are obtained as…”

Section: Conserved Quantitiesmentioning

confidence: 99%

Quasitopological magnetic brane coupled to nonlinear electrodynamics

et al. 2019

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In this paper, we are eager to construct a new class of (n + 1)-dimensional static magnetic brane solutions in quasi-topological gravity coupled to nonlinear electrodynamics such as exponential and logarithmic forms. The solutions of this magnetic brane are horizonless and have no curvature. For ρ near r+, the solution f (ρ) is dependent to the values of parameters q and n and for larger ρ, it depends on the coefficients of Love-Lock and quasi-topological gravities λ, µ and c. The obtained solutions also have a conic singularity at r = 0 with a deficit angle that is only dependent to the parameters q, n and β. We should remind that the two forms of nonlinear electrodynamics theory have similar behaviors on the obtained solutions. At last, by using the counterterm method, we obtain conserved quantities such as mass and electric charge. The value of the electric charge for this static magnetic brane is obtained zero.

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Thermodynamics of Taub-NUT/bolt black holes in Einstein-Maxwell gravity

Cited by 39 publications

References 47 publications

NUTs and bolts beyond Lovelock

NUTs and bolts beyond Lovelock

Thermodynamics and phase transitions of NUTty dyons

Quasitopological magnetic brane coupled to nonlinear electrodynamics

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