Static axisymmetric rings in general relativity: How diverse they are

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335520" target="_blank" >RIV/00216208:11320/16:10335520 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1103/PhysRevD.94.104021" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.94.104021</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.94.104021" target="_blank" >10.1103/PhysRevD.94.104021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Static axisymmetric rings in general relativity: How diverse they are

Popis výsledku v původním jazyce

Three static and axially symmetric (Weyl-type) ring singularities-the Majumdar-Papapetrou-type (extremally charged) ring, the Bach-Weyl ring, and the Appell ring-are studied in general relativity in order to show how remarkably the geometries in their vicinity differ from each other. This is demonstrated on basic measures of the rings and on invariant characteristics given by the metric and by its first and second derivatives (lapse, gravitational acceleration, and curvature), and also on geodesic motion. The results are also compared against the Kerr space-time which possesses a ring singularity too. The Kerr solution is only stationary, not static, but in spite of the consequent complication by dragging, its ring appears to be simpler than the static rings. We show that this mainly applies to the Bach-Weyl ring, although this straightforward counterpart of the Newtonian homogeneous circular ring is by default being taken as the simplest ring solution, and although the other two static ring sources may seem more "artificial." The weird, directional deformation around the Bach-Weyl ring probably indicates that a more adequate coordinate representation and interpretation of this source should exist.

Název v anglickém jazyce

Static axisymmetric rings in general relativity: How diverse they are

Popis výsledku anglicky

Three static and axially symmetric (Weyl-type) ring singularities-the Majumdar-Papapetrou-type (extremally charged) ring, the Bach-Weyl ring, and the Appell ring-are studied in general relativity in order to show how remarkably the geometries in their vicinity differ from each other. This is demonstrated on basic measures of the rings and on invariant characteristics given by the metric and by its first and second derivatives (lapse, gravitational acceleration, and curvature), and also on geodesic motion. The results are also compared against the Kerr space-time which possesses a ring singularity too. The Kerr solution is only stationary, not static, but in spite of the consequent complication by dragging, its ring appears to be simpler than the static rings. We show that this mainly applies to the Bach-Weyl ring, although this straightforward counterpart of the Newtonian homogeneous circular ring is by default being taken as the simplest ring solution, and although the other two static ring sources may seem more "artificial." The weird, directional deformation around the Bach-Weyl ring probably indicates that a more adequate coordinate representation and interpretation of this source should exist.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-10625S" target="_blank" >GA14-10625S: Obecně relativistická pole kompaktních astrofyzikálních zdrojů</a><br>

Návaznosti

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

Rok uplatnění

2016

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

94

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

—

Kód UT WoS článku

000387392400005

EID výsledku v databázi Scopus

2-s2.0-84995527951