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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

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

2018

Kód důvěrnosti údajů

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

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

97

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

—

Kód UT WoS článku

000429116900003

EID výsledku v databázi Scopus

2-s2.0-85047121786