Extremal Rotating BTZ Black Holes Cannot Be Dressed in (anti-)Self-Dual Maxwell Field

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492423" target="_blank" >RIV/00216208:11320/24:10492423 - isvavai.cz</a>

Result on the web

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

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/ptep/ptae160" target="_blank" >10.1093/ptep/ptae160</a>

Result language

angličtina

Original language name

Extremal Rotating BTZ Black Holes Cannot Be Dressed in (anti-)Self-Dual Maxwell Field

Original language description

Under the (anti-)self-dual condition for orthonormal components of the Faraday tensor, the 3D Einstein-Maxwell system with a negative cosmological constant A admits a solution obtained by Kamata and Koikawa and later by Cataldo and Salgado in the most general form. Actually, Cl &amp; eacute;ment first obtained this solution and interpreted it as a regular particle-like solution without horizon. Nevertheless, it has been erroneously stated in some literature that this Cl &amp; eacute;ment-Cataldo-Salgado (CCS) solution, locally characterized by a single parameter, describes a black hole even in the charged case as it reduces to the extremal rotating Ba &amp; ntilde;ados-Teitelboim-Zanelli (BTZ) solution in the vacuum limit and its curvature invariants are constant. In this paper, we supplement Cl &amp; eacute;ment&apos;s interpretation by showing that there appears a parallelly propagated curvature singularity corresponding to an infinite affine parameter along spacelike geodesics at the location of the Killing horizon in the extremal rotating BTZ solution when the (anti-)self-dual Maxwell field is added. If the spatial coordinate 9 is periodic, closed timelike curves exist near the singularity. It is also shown that the CCS solution is of Cotton type N (in contrast to charged rotating BTZ black holes which are of type I away from the horizon), and the energy-momentum tensor of the Maxwell field is of Hawking-Ellis type II. The metric solves the Einstein- A equations also with a massless scalar field or a null dust fluid. We explicitly demonstrate that it belongs to the Kundt shear-free, nontwisting, and nonexpanding class of geometries, whereas extremal rotating BTZ black holes have expanding principal null directions. It means that the CCS metric represents the specific null (i.e. &quot;radiative&quot;) Maxwell field generated by a singular source, rather than an extremal rotating BTZ black hole dressed in an (anti-)self-dual Maxwell field.

Czech name

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Czech description

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Type

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

CEP classification

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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

Progress of Theoretical and Experimental Physics

ISSN

2050-3911

e-ISSN

—

Volume of the periodical

2024

Issue of the periodical within the volume

11

Country of publishing house

JP - JAPAN

Number of pages

24

Pages from-to

113E03

UT code for WoS article

001354714200001

EID of the result in the Scopus database

2-s2.0-85213374755