The first law for stationary axisymmetric multi-black hole systems

In the framework of Einstein-Maxwell theory, we consider collinear arrays of rotating electrically charged black holes connected by Misner-Dirac strings carrying gravimagnetic and magnetic fluxes. The first law of mechanics for these systems is derived. It involves as dynamical variables the areas,...

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Main Authors: Gérard Clément, Dmitri Gal'tsov
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323004860
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author Gérard Clément
Dmitri Gal'tsov
author_facet Gérard Clément
Dmitri Gal'tsov
author_sort Gérard Clément
collection DOAJ
description In the framework of Einstein-Maxwell theory, we consider collinear arrays of rotating electrically charged black holes connected by Misner-Dirac strings carrying gravimagnetic and magnetic fluxes. The first law of mechanics for these systems is derived. It involves as dynamical variables the areas, angular momenta and electric charges of the various Killing horizons — black holes and Misner strings. When the gravimagnetic fluxes all vanish, the first law reduces to a form where the dynamical variables associated with the strings are the string tensions and magnetic fluxes. This form is not generically invariant under electric-magnetic duality.
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spelling doaj.art-92025587ee3f4e05bebd3107ea3e20dc2023-09-23T05:10:29ZengElsevierPhysics Letters B0370-26932023-10-01845138152The first law for stationary axisymmetric multi-black hole systemsGérard Clément0Dmitri Gal'tsov1LAPTh, Université Savoie Mont Blanc, CNRS, F-74940 Annecy, France; Corresponding author.Department of Theoretical Physics, Faculty of Physics, Moscow State University, 119899, Moscow, Russia; Kazan Federal University, 420008 Kazan, RussiaIn the framework of Einstein-Maxwell theory, we consider collinear arrays of rotating electrically charged black holes connected by Misner-Dirac strings carrying gravimagnetic and magnetic fluxes. The first law of mechanics for these systems is derived. It involves as dynamical variables the areas, angular momenta and electric charges of the various Killing horizons — black holes and Misner strings. When the gravimagnetic fluxes all vanish, the first law reduces to a form where the dynamical variables associated with the strings are the string tensions and magnetic fluxes. This form is not generically invariant under electric-magnetic duality.http://www.sciencedirect.com/science/article/pii/S0370269323004860
spellingShingle Gérard Clément
Dmitri Gal'tsov
The first law for stationary axisymmetric multi-black hole systems
Physics Letters B
title The first law for stationary axisymmetric multi-black hole systems
title_full The first law for stationary axisymmetric multi-black hole systems
title_fullStr The first law for stationary axisymmetric multi-black hole systems
title_full_unstemmed The first law for stationary axisymmetric multi-black hole systems
title_short The first law for stationary axisymmetric multi-black hole systems
title_sort first law for stationary axisymmetric multi black hole systems
url http://www.sciencedirect.com/science/article/pii/S0370269323004860
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