Free Motion around Black Holes with Disks or Rings: Between Integrability and Chaos-V

0511642 - ASÚ 2020 RIV US eng J - Journal Article
Polcar, L. - Suková, Petra - Semerák, O.
Free Motion around Black Holes with Disks or Rings: Between Integrability and Chaos-V.
Astrophysical Journal. Roč. 877, č. 1 (2019), č. článku 16. ISSN 0004-637X. E-ISSN 1538-4357
R&D Projects: GA ČR(CZ) GJ17-06962Y
Institutional support: RVO:67985815
Keywords : black hole physics * chaos * gravitation
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 5.746, year: 2019
Method of publishing: Limited access
https://doi.org/10.3847/1538-4357/ab18a0

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-Nordstrom 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.
Permanent Link: http://hdl.handle.net/11104/0301876