Free motion around black holes with discs or rings: between integrability and chaos-V
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10397488" target="_blank" >RIV/00216208:11320/19:10397488 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=XsjLC9SCOe" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=XsjLC9SCOe</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3847/1538-4357/ab18a0" target="_blank" >10.3847/1538-4357/ab18a0</a>
Alternative languages
Result language
angličtina
Original language name
Free motion around black holes with discs or rings: between integrability and chaos-V
Original language description
The complete integrability of geodesic motion, the well-known feature of fields of isolated stationary black holes, can easily be "spoiled" by the presence of some additional sources (even if highly symmetric). In previous papers, we used various methods to show how free time-like motion becomes chaotic if the gravitational field of the Schwarzschild black hole is perturbed by that of a circular disk or ring, considering specifically the inverted first disk of the Morgan-Morgan counter-rotating family and the Bach-Weyl ring as additional sources. The present paper focuses on two new points. First, because the Bach-Weyl thin ring is physically quite unsatisfactory, we now repeat some of the analyses for a different, Majumdar-Papapetrou-type (extremally charged) ring around an extreme Reissner-Nordström black hole, and compare the results with those obtained before. We also argue that such a system is in fact more relevant astrophysically than it may seem. Second, we check numerically, for the latter system as well as for the Schwarzschild black hole encircled by the inverted Morgan-Morgan disk, how indicative the geometric (curvature) criterion is for the chaos suggested by Sota et al. We also add a review of the literature where the relevance of geometric criteria in general relativity (as well as elsewhere) has been discussed for decades.
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/GA17-13525S" target="_blank" >GA17-13525S: Sources of strong gravity and their astrophysical meaning</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Astrophysical Journal
ISSN
0004-637X
e-ISSN
—
Volume of the periodical
877
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
16
UT code for WoS article
000468321200006
EID of the result in the Scopus database
2-s2.0-85069662421