IDEAL characterization of higher dimensional spherically symmetric black holes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00501124" target="_blank" >RIV/67985840:_____/19:00501124 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1088/1361-6382/aafcf1" target="_blank" >http://dx.doi.org/10.1088/1361-6382/aafcf1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/aafcf1" target="_blank" >10.1088/1361-6382/aafcf1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

IDEAL characterization of higher dimensional spherically symmetric black holes

Popis výsledku v původním jazyce

In general relativity, an IDEAL (intrinsic, deductive, explicit, algorithmic) characterization of a reference spacetime metric g 0 consists of a set of tensorial equations T[g]  =  0, constructed covariantly out of the metric g, its Riemann curvature and their derivatives, that are satisfied if and only if g is locally isometric to the reference spacetime metric g 0. We give the first IDEAL characterization of generalized Schwarzschild–Tangherlini spacetimes, which consist of -vacuum extensions of higher dimensional spherically symmetric black holes, as well as their versions where spheres are replaced by flat or hyperbolic spaces. The standard Schwarzschild black hole has been previously characterized in the work of Ferrando and Sáez, but using methods highly specific to 4 dimensions. Specialized to 4 dimensions, our result provides an independent, alternative characterization. We also give a proof of a version of Birkhoff's theorem that is applicable also on neighborhoods of horizon and horizon bifurcation points, which is necessary for our arguments.

Název v anglickém jazyce

IDEAL characterization of higher dimensional spherically symmetric black holes

Popis výsledku anglicky

In general relativity, an IDEAL (intrinsic, deductive, explicit, algorithmic) characterization of a reference spacetime metric g 0 consists of a set of tensorial equations T[g]  =  0, constructed covariantly out of the metric g, its Riemann curvature and their derivatives, that are satisfied if and only if g is locally isometric to the reference spacetime metric g 0. We give the first IDEAL characterization of generalized Schwarzschild–Tangherlini spacetimes, which consist of -vacuum extensions of higher dimensional spherically symmetric black holes, as well as their versions where spheres are replaced by flat or hyperbolic spaces. The standard Schwarzschild black hole has been previously characterized in the work of Ferrando and Sáez, but using methods highly specific to 4 dimensions. Specialized to 4 dimensions, our result provides an independent, alternative characterization. We also give a proof of a version of Birkhoff's theorem that is applicable also on neighborhoods of horizon and horizon bifurcation points, which is necessary for our arguments.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-07776S" target="_blank" >GA18-07776S: Vyšší struktury v algebře, geometrii a matematické fyzice</a><br>

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

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

—

Svazek periodika

36

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

19

Strana od-do

045001

Kód UT WoS článku

000456843300001

EID výsledku v databázi Scopus

2-s2.0-85062625954