Charged rotating BTZ solution revisited: new coordinates and algebraic classifications

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Charged rotating BTZ solution revisited: new coordinates and algebraic classifications

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GA23-05914S" target="_blank" >GA23-05914S: Advanced Techniques Applied to Black-Hole and Gravitational-Wave Exact Spacetimes</a><br>

Continuities

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

Publication year

2024

Confidentiality

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

Name of the periodical

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

1361-6382

Volume of the periodical

41

Issue of the periodical within the volume

11

Country of publishing house

GB - UNITED KINGDOM

Number of pages

25

Pages from-to

115012

UT code for WoS article

001215909000001

EID of the result in the Scopus database

2-s2.0-85192545025