Point particles and Appell's solutions on the axis of a Kerr black hole for an arbitrary spin in terms of the Debye potentials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421789" target="_blank" >RIV/00216208:11320/20:10421789 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=pK0uSndUJi" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=pK0uSndUJi</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.101.064027" target="_blank" >10.1103/PhysRevD.101.064027</a>
Alternative languages
Result language
angličtina
Original language name
Point particles and Appell's solutions on the axis of a Kerr black hole for an arbitrary spin in terms of the Debye potentials
Original language description
The Teukolsky master equation-a fundamental equation for test fields of any spin, or perturbations, in type D spacetimes-is classically treated in its separated form. Then the solutions representing even the simplest sources-point particles-are expressed in terms of series. The only known exception is a static particle (charge or mass) in the vicinity of a Schwarzschild black hole. Here, we present a generalization of this result to a static point particle of arbitrary spin at the axis of a Kerr black hole. A simple algebraic formula for the Debye potential from which all the Newman-Penrose components of the field under consideration can be generated is written down explicitly. Later, we focus on the electromagnetic field and employ the classic Appell's trick (moving the source into a complex space) to get the so-called electromagnetic magic field on the Kerr background. Thus the field of nontrivial extended yet spatially bounded source is obtained. We also show that a static electric point charge above the Kerr black hole induces, except for an expected electric monopole, also a magnetic monopole charge on the black hole itself. This contribution has to be compensated. On a general level we discuss Teukolsky-Starobinsky identities in terms of the Debye potentials.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GJ17-16260Y" target="_blank" >GJ17-16260Y: Thermodynamics of the gravitational field</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
—
Volume of the periodical
101
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
064027
UT code for WoS article
000519703200009
EID of the result in the Scopus database
2-s2.0-85083550050