Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole

Abstract We study linear-perturbation equations for the two-body system of a charged dilaton black hole, of which dilaton coupling constant is $$\alpha $$ α , and a static particle with mass m, electric charge q, and dilatonic charge $$\beta m$$ β m . We find that a consistent condition for the coup...

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Main Authors: Nahomi Kan, Kiyoshi Shiraishi
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12633-9
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author Nahomi Kan
Kiyoshi Shiraishi
author_facet Nahomi Kan
Kiyoshi Shiraishi
author_sort Nahomi Kan
collection DOAJ
description Abstract We study linear-perturbation equations for the two-body system of a charged dilaton black hole, of which dilaton coupling constant is $$\alpha $$ α , and a static particle with mass m, electric charge q, and dilatonic charge $$\beta m$$ β m . We find that a consistent condition for the coupled equations corresponds to the equilibrium condition of the test particle. The expressions of classical fields are given in closed analytical formulas in the most interesting case with $$\beta =\alpha $$ β = α . We examine the electrical field around a charged dilaton black hole especially in the limit of the maximum electric charge and we find the electric Meissner effect which has been found for the Reissner–Nordström black hole in the Einstein–Maxwell system.
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spelling doaj.art-14740244fd62415c9872d99f80d375782024-05-12T11:31:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-0184311110.1140/epjc/s10052-024-12633-9Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black holeNahomi Kan0Kiyoshi Shiraishi1National Institute of Technology, Gifu CollegeGraduate School of Sciences and Technology for Innovation, Yamaguchi UniversityAbstract We study linear-perturbation equations for the two-body system of a charged dilaton black hole, of which dilaton coupling constant is $$\alpha $$ α , and a static particle with mass m, electric charge q, and dilatonic charge $$\beta m$$ β m . We find that a consistent condition for the coupled equations corresponds to the equilibrium condition of the test particle. The expressions of classical fields are given in closed analytical formulas in the most interesting case with $$\beta =\alpha $$ β = α . We examine the electrical field around a charged dilaton black hole especially in the limit of the maximum electric charge and we find the electric Meissner effect which has been found for the Reissner–Nordström black hole in the Einstein–Maxwell system.https://doi.org/10.1140/epjc/s10052-024-12633-9
spellingShingle Nahomi Kan
Kiyoshi Shiraishi
Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
European Physical Journal C: Particles and Fields
title Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
title_full Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
title_fullStr Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
title_full_unstemmed Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
title_short Electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
title_sort electric and dilatonic fields of a charged massive particle at rest in the field of a charged dilaton black hole
url https://doi.org/10.1140/epjc/s10052-024-12633-9
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