Black holes, hidden symmetries, and complete integrability
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10372306" target="_blank" >RIV/00216208:11320/17:10372306 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1007/s41114-017-0009-9" target="_blank" >http://dx.doi.org/10.1007/s41114-017-0009-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s41114-017-0009-9" target="_blank" >10.1007/s41114-017-0009-9</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Black holes, hidden symmetries, and complete integrability
Popis výsledku v původním jazyce
The study of higher-dimensional black holes is a subject which has recently attracted vast interest. Perhaps one of the most surprising discoveries is a realization that the properties of higher-dimensional black holes with the spherical horizon topology and described by the Kerr-NUT-(A)dS metrics are very similar to the properties of the well known four-dimensional Kerr metric. This remarkable result stems from the existence of a single object called the principal tensor. In our review we discuss explicit and hidden symmetries of higher-dimensional Kerr-NUT-(A)dS black hole spacetimes. We start with discussion of the Killing and Killing-Yano objects representing explicit and hidden symmetries. We demonstrate that the principal tensor can be used as a "seed object" which generates all these symmetries. It determines the form of the geometry, as well as guarantees its remarkable properties, such as special algebraic type of the spacetime, complete integrability of geodesic motion, and separability of the Hamilton-Jacobi, Klein-Gordon, and Dirac equations. The review also contains a discussion of different applications of the developed formalism and its possible generalizations.
Název v anglickém jazyce
Black holes, hidden symmetries, and complete integrability
Popis výsledku anglicky
The study of higher-dimensional black holes is a subject which has recently attracted vast interest. Perhaps one of the most surprising discoveries is a realization that the properties of higher-dimensional black holes with the spherical horizon topology and described by the Kerr-NUT-(A)dS metrics are very similar to the properties of the well known four-dimensional Kerr metric. This remarkable result stems from the existence of a single object called the principal tensor. In our review we discuss explicit and hidden symmetries of higher-dimensional Kerr-NUT-(A)dS black hole spacetimes. We start with discussion of the Killing and Killing-Yano objects representing explicit and hidden symmetries. We demonstrate that the principal tensor can be used as a "seed object" which generates all these symmetries. It determines the form of the geometry, as well as guarantees its remarkable properties, such as special algebraic type of the spacetime, complete integrability of geodesic motion, and separability of the Hamilton-Jacobi, Klein-Gordon, and Dirac equations. The review also contains a discussion of different applications of the developed formalism and its possible generalizations.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10300 - Physical sciences
Návaznosti výsledku
Projekt
Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Living Reviews in Relativity [online]
ISSN
1433-8351
e-ISSN
—
Svazek periodika
20
Číslo periodika v rámci svazku
December
Stát vydavatele periodika
DE - Spolková republika Německo
Počet stran výsledku
221
Strana od-do
—
Kód UT WoS článku
000416183000001
EID výsledku v databázi Scopus
2-s2.0-85039905757