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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Format: | Article |
Language: | English |
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SpringerOpen
2024-03-01
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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. |
first_indexed | 2024-04-24T23:03:19Z |
format | Article |
id | doaj.art-14740244fd62415c9872d99f80d37578 |
institution | Directory Open Access Journal |
issn | 1434-6052 |
language | English |
last_indexed | 2025-03-22T00:59:26Z |
publishDate | 2024-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |
work_keys_str_mv | AT nahomikan electricanddilatonicfieldsofachargedmassiveparticleatrestinthefieldofachargeddilatonblackhole AT kiyoshishiraishi electricanddilatonicfieldsofachargedmassiveparticleatrestinthefieldofachargeddilatonblackhole |