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2017

On the Smarr formula for rotating dyonic black holes

Clément, Gérard, Gal'tsov, Dmitri

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We revisit the derivation by Tomimatsu of the generalized Komar integrals giving the mass and angular momentum of rotating Einstein-Maxwell black holes.

We show that, contrary to Tomimatsu's claim, the usual Smarr formula relating the horizon mass and angular momentum still holds in the presence of both electric and magnetic charges.
The simplest case is that of dyonic Kerr-Newman black holes, for which we recover the modified Smarr formula relating the asymptotic mass and angular momentum, the difference between asymptotic and horizon masses being equal to the sum of the two Dirac string masses.
Our results apply in particular to the case of dyonic dihole solutions which have been investigated recently.

On the Smarr formula for rotating dyonic black holes · Around

Built on

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V. S. Manko and R. I. Rabadán, Phys.Rev. D 89
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V. S. Manko and H. García-Compeán, “Remarks on Smarr’s mass formula in the presence of both electric and magnetic charges”, arXiv:1506.03870 [gr-qc]
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Cited in the paper.

Then

I. Cabrera-Munguia, C. Lämmerzahl, L.A. López and A. Macías, Phys. Rev. D 90
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2014
Later among the works it cites.
I. Cabrera-Munguia, C. Lämmerzahl and A. Macías, Phys. Lett. B 743
2015
Later among the works it cites.
M. Cardenas, O. Fuentealba and J. Matulich, JHEP 1605
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2016
Later among the works it cites.
G. Clément and D. Gal’tsov, Phys. Lett. B 771
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2017
Closest in time.

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