Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F06%3A00076243" target="_blank" >RIV/67985840:_____/06:00076243 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment

Original language description

We study electromagnetic test fields in the background of vacuum black rings using Killing vectors as vector potentials. We consider both spacetimes with a rotating S^1 and with a rotating S^2 and we demonstrate, in particular, that the gyromagnetic ratio of slightly charged black rings takes the value g=3 (this will in fact apply to a wider class of spacetimes). We also observe that a S^2-rotating black ring immersed in an external "aligned" magnetic field completely expels the magnetic flux in the extremal limit. Finally, we discuss the mutual alignment of principal null directions of the Maxwell 2-form and of the Weyl tensor, and the algebraic type of exact charged black rings. In contrast to spherical black holes, charged rings display new distinctive features and provide us with an explicit example of algebraically general (type G) spacetimes in higher dimensions.

Czech name

Topologicky toroidální, slabě nabitý horizont: gyromagnetický poměr a algebraické vlastnosti

Czech description

Na pozadí černé díry s toroidálním horizontem (black ring) studujeme testovací elektromagnetické pole generované Killingovými vektory a odvozujeme hodnotu gyromagnetického poměru g=3. Studujeme též souvislost mezi algebraickými vlastnostmi gravitačního aslabého elektromagnetického pole a ukazujeme, že nabitý "black ring" je prvním známým případem alebraického typu G.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/KJB1019403" target="_blank" >KJB1019403: Curvature invariants and classification of curvature tensors</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2006

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of High Energy Physics

ISSN

1126-6708

e-ISSN

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Volume of the periodical

12

Issue of the periodical within the volume

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Country of publishing house

GB - UNITED KINGDOM

Number of pages

30

Pages from-to

054-083

UT code for WoS article

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EID of the result in the Scopus database

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