Charged rotating BTZ solution revisited: new coordinates and algebraic classifications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10490845" target="_blank" >RIV/00216208:11320/24:10490845 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=o5g1cfipwE" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=o5g1cfipwE</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/ad422d" target="_blank" >10.1088/1361-6382/ad422d</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Charged rotating BTZ solution revisited: new coordinates and algebraic classifications

Popis výsledku v původním jazyce

We revisit the charged rotating Ba &amp; ntilde;ados-Teitelboim-Zanelli (BTZ) solution in the three-dimensional Einstein-Maxwell-Lambda system. After the erroneous announcement of its discovery at the end of the original BTZ paper in 1992, the solution was first obtained by Cl &amp; eacute;ment in the paper published in 1996 by coordinate transformations from the charged non-rotating BTZ solution. While Cl &amp; eacute;ment&apos;s form of the solution is valid only for Lambda &lt; 0 , we present a new form for a wider range of Lambda by uniform scaling transformations and a reparametrization. We also introduce new coordinates corresponding to the Doran coordinates in the Kerr spacetime, in which the metric and also its inverse are regular at the Killing horizon, and described by elementary functions. Lastly, we show that (i) the algebraic Cotton type of the spacetime is type III on the Killing horizon and type I away from the horizon, and (ii) the energy-momentum tensor for the Maxwell field is of the Hawking-Ellis type I everywhere.

Název v anglickém jazyce

Charged rotating BTZ solution revisited: new coordinates and algebraic classifications

Popis výsledku anglicky

We revisit the charged rotating Ba &amp; ntilde;ados-Teitelboim-Zanelli (BTZ) solution in the three-dimensional Einstein-Maxwell-Lambda system. After the erroneous announcement of its discovery at the end of the original BTZ paper in 1992, the solution was first obtained by Cl &amp; eacute;ment in the paper published in 1996 by coordinate transformations from the charged non-rotating BTZ solution. While Cl &amp; eacute;ment&apos;s form of the solution is valid only for Lambda &lt; 0 , we present a new form for a wider range of Lambda by uniform scaling transformations and a reparametrization. We also introduce new coordinates corresponding to the Doran coordinates in the Kerr spacetime, in which the metric and also its inverse are regular at the Killing horizon, and described by elementary functions. Lastly, we show that (i) the algebraic Cotton type of the spacetime is type III on the Killing horizon and type I away from the horizon, and (ii) the energy-momentum tensor for the Maxwell field is of the Hawking-Ellis type I everywhere.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA23-05914S" target="_blank" >GA23-05914S: Pokročilé techniky aplikované na přesné prostoročasy s černými dírami a gravitačními vlnami</a><br>

Návaznosti

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

Rok uplatnění

2024

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

1361-6382

Svazek periodika

41

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

115012

Kód UT WoS článku

001215909000001

EID výsledku v databázi Scopus

2-s2.0-85192545025