Mixing “Magnetic” and “Electric” Ehlers-Harrison transformations: The electromagnetic swirling spacetime and novel type I backgrounds

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00599022" target="_blank" >RIV/67985840:_____/24:00599022 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/24:10491404

Result on the web

<a href="https://doi.org/10.1140/epjc/s10052-024-13093-x" target="_blank" >https://doi.org/10.1140/epjc/s10052-024-13093-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-024-13093-x" target="_blank" >10.1140/epjc/s10052-024-13093-x</a>

Result language

angličtina

Original language name

Mixing “Magnetic” and “Electric” Ehlers-Harrison transformations: The electromagnetic swirling spacetime and novel type I backgrounds

Original language description

In this paper, we obtain a complete list of stationary and axisymmetric spacetimes, generated from a Minkowski spacetime using the Ernst technique. We do so by operating on the associated seed potentials with a composition of Ehlers and Harrison transformations. In particular, assigning an additional “electric” or “magnetic” tag to the transformations, we investigate the new spacetimes obtained either via a composition of magnetic Ehlers and Harrison transformations (first part) or via a magnetic-electric combination (second part). In the first part, the resulting type D spacetime, dubbed electromagnetic swirling universe, features key properties, separately found in swirling and (Bonnor–)Melvin spacetimes, the latter recovered in appropriate limits. A detailed analysis of the geometry is included, and subtle issues are addressed. A detailed proof that the spacetime belongs to the Kundt family, is included, and a notable relation to the5 planar-Reissner–Nordström-NUT black hole is also meticulously worked out. This relation is further exploited to reverse-engineer the form of the solution in the presence of a nontrivial cosmological constant. A Schwarzschild black hole embedded into the new background is also discussed. In the second part, we present four novel stationary and axisymmetric asymptotically nonflat type I spacetimes, which are naively expected to be extensions of the Melvin or swirling solution including a NUT parameter or electromagnetic charges. We actually find that they are, under conditions, free of curvature and topological singularities, with the physical meaning of the electric transformation parameters in these backgrounds requiring further investigation.

Czech name

—

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

—

OECD FORD branch

10303 - Particles and field physics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

European Physical Journal C

ISSN

1434-6044

e-ISSN

1434-6052

Volume of the periodical

84

Issue of the periodical within the volume

7

Country of publishing house

DE - GERMANY

Number of pages

29

Pages from-to

724

UT code for WoS article

001274913900008

EID of the result in the Scopus database

2-s2.0-85199484330