4.4 Article

Smarr formula for black holes endowed with both electric and magnetic charges

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 35, Issue 6, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/aaa907

Keywords

Smarr formula; Komar integrals; Tomimatsu's formulae; dyonic black holes

Funding

  1. CONACyT of Mexico [128761]

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The present paper clarifies how to consistently take into account the contribution of magnetic charges in the generalized Smarr mass formula by using properly Tomimatsu's representation of Komar integrals. It is shown in particular that in all three examples of dyonic solutions considered by us, the sum of the two electromagnetic terms in Smarr's formula can be cast into the form Q Phi(H)(ext), where Q is the complex charge and Phi H-ext the complex extension of the electric potential.

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