Schwarzschild black hole encircled by a rotating thin disc: Properties of perturbative solution

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390213" target="_blank" >RIV/00216208:11320/18:10390213 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1103/PhysRevD.97.084006" target="_blank" >https://doi.org/10.1103/PhysRevD.97.084006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.97.084006" target="_blank" >10.1103/PhysRevD.97.084006</a>

Result language

angličtina

Original language name

Schwarzschild black hole encircled by a rotating thin disc: Properties of perturbative solution

Original language description

Will [Astrophys. J. 191, 521 (1974)] solved the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring, using Green&apos;s functions expressed as infinite-sum expansions in multipoles and in the small mass and rotational parameters. In a previous paper [P.Cizek and O. Semerak, Astrophys. J. Suppl. Ser. 232, 14 (2017)], we expressed the Green functions in closed form containing elliptic integrals, leaving just summation over the mass expansion. Such a form is more practical for numerical evaluation, but mainly for generalizing the problem to extended sources where the Green functions have to be integrated over the source. We exemplified the method by computing explicitly the first-order perturbation due to a slowly rotating thin disc lying between two finite radii. After finding basic parameters of the system-mass and angular momentum of the black hole and of the disc-we now add further properties, namely those which reveal how the disc gravity influences geometry of the black-hole horizon and those of circular equatorial geodesics (specifically, radii of the photon, marginally bound and marginally stable orbits). We also realize that, in the linear order, no ergosphere occurs and the central singularity remains pointlike, and check the implications of natural physical requirements (energy conditions and subluminal restriction on orbital speed) for the single-stream as well as counter-rotating double-stream interpretations of the disc.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10300 - Physical sciences

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)

Publication year

2018

Confidentiality

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

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

—

Volume of the periodical

97

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

—

UT code for WoS article

000429116900003

EID of the result in the Scopus database

2-s2.0-85047121786