Rotating Disc around a Schwarzschild Black Hole

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10423691" target="_blank" >RIV/00216208:11320/20:10423691 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jSrZoT.cuU" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jSrZoT.cuU</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/universe6020027" target="_blank" >10.3390/universe6020027</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Rotating Disc around a Schwarzschild Black Hole

Popis výsledku v původním jazyce

Simple Summary Metric for a linear perturbation of Schwarzschild due to a rotating thin disc. A stationary and axisymmetric (in fact circular) metric is reviewed which describes the first-order perturbation of a Schwarzschild black-hole space-time due to a rotating finite thin disc encircling the hole symmetrically. The key Green functions of the problem (corresponding to an infinitesimally thin ring)-the one for the gravitational potential and the one for the dragging angular velocity-were already derived, in terms of infinite series, by Will in 1974, but we have now put them into closed forms using elliptic integrals. Such forms are more practical for numerical evaluation and for integration in problems involving extended sources. This last point mostly remains difficult, but we illustrate that it may be workable by using the simple case of a finite thin disc with constant Newtonian surface density.

Název v anglickém jazyce

Rotating Disc around a Schwarzschild Black Hole

Popis výsledku anglicky

Simple Summary Metric for a linear perturbation of Schwarzschild due to a rotating thin disc. A stationary and axisymmetric (in fact circular) metric is reviewed which describes the first-order perturbation of a Schwarzschild black-hole space-time due to a rotating finite thin disc encircling the hole symmetrically. The key Green functions of the problem (corresponding to an infinitesimally thin ring)-the one for the gravitational potential and the one for the dragging angular velocity-were already derived, in terms of infinite series, by Will in 1974, but we have now put them into closed forms using elliptic integrals. Such forms are more practical for numerical evaluation and for integration in problems involving extended sources. This last point mostly remains difficult, but we illustrate that it may be workable by using the simple case of a finite thin disc with constant Newtonian surface density.

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

2020

Kód důvěrnosti údajů

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

Název periodika

Universe

ISSN

2218-1997

e-ISSN

—

Svazek periodika

6

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

11

Strana od-do

27

Kód UT WoS článku

000519107400001

EID výsledku v databázi Scopus

2-s2.0-85080078371