Conformal Killing initial data

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00518858" target="_blank" >RIV/67985840:_____/19:00518858 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/19:10408519

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.5126683" target="_blank" >http://dx.doi.org/10.1063/1.5126683</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.5126683" target="_blank" >10.1063/1.5126683</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Conformal Killing initial data

Popis výsledku v původním jazyce

We find necessary and sufficient conditions ensuring that the vacuum development of an initial dataset of Einstein's field equations admits a conformal Killing vector. We refer to these conditions as conformal Killing initial data (CKID), and they extend the well-known Killing initial data (KID) that have been known for a long time. The procedure used to find the CKID is a classical argument, which is reviewed and presented in a form that may have an independent interest, based on identifying a suitable propagation identity and checking the well-posedness of the corresponding initial value problem. As example applications, we review the derivation of the KID conditions as well as give a more thorough treatment of the homothetic KID conditions than was previously available in the literature.

Název v anglickém jazyce

Conformal Killing initial data

Popis výsledku anglicky

We find necessary and sufficient conditions ensuring that the vacuum development of an initial dataset of Einstein's field equations admits a conformal Killing vector. We refer to these conditions as conformal Killing initial data (CKID), and they extend the well-known Killing initial data (KID) that have been known for a long time. The procedure used to find the CKID is a classical argument, which is reviewed and presented in a form that may have an independent interest, based on identifying a suitable propagation identity and checking the well-posedness of the corresponding initial value problem. As example applications, we review the derivation of the KID conditions as well as give a more thorough treatment of the homothetic KID conditions than was previously available in the literature.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

—

Svazek periodika

60

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

122502

Kód UT WoS článku

000505700000002

EID výsledku v databázi Scopus

2-s2.0-85076668994