New metrics admitting the principal Killing-Yano tensor

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390153" target="_blank" >RIV/00216208:11320/18:10390153 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1103/PhysRevD.97.104071" target="_blank" >https://doi.org/10.1103/PhysRevD.97.104071</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.97.104071" target="_blank" >10.1103/PhysRevD.97.104071</a>

Result language

angličtina

Original language name

New metrics admitting the principal Killing-Yano tensor

Original language description

It is believed that in any number of dimensions the off-shell Kerr-NUT-(A) dS metric represents a unique geometry admitting the principal (rank 2, non-degenerate, closed conformal Killing-Yano) tensor. The original proof relied on the Euclidean signature and therein natural assumption that the eigenvalues of the principal tensor have gradients of spacelike character. In this paper we evade this common wisdom and construct new classes of Lorentzian (and other signature) off-shell metrics admitting the principal tensor with &quot;null eigenvalues,&quot; uncovering so a much richer structure of spacetimes with principal tensor in four and higher dimensions. A few observations regarding the Kerr-Schild ansatz are also made.

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/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>

Continuities

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

Publication year

2018

Confidentiality

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

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

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Volume of the periodical

97

Issue of the periodical within the volume

10

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

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UT code for WoS article

000433913000010

EID of the result in the Scopus database

2-s2.0-85048079161