Free motion around black holes with discs or rings: between integrability and chaos-V

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Free motion around black holes with discs or rings: between integrability and chaos-V

Popis výsledku v původním jazyce

The complete integrability of geodesic motion, the well-known feature of fields of isolated stationary black holes, can easily be &quot;spoiled&quot; 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.

Název v anglickém jazyce

Free motion around black holes with discs or rings: between integrability and chaos-V

Popis výsledku anglicky

The complete integrability of geodesic motion, the well-known feature of fields of isolated stationary black holes, can easily be &quot;spoiled&quot; 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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA17-13525S" target="_blank" >GA17-13525S: Zdroje silné gravitace a jejich astrofyzikální význam</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Astrophysical Journal

ISSN

0004-637X

e-ISSN

—

Svazek periodika

877

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

16

Kód UT WoS článku

000468321200006

EID výsledku v databázi Scopus

2-s2.0-85069662421