Conical singularity in spacetimes with NUT is observer dependent
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10506815" target="_blank" >RIV/00216208:11320/25:10506815 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Re7SmqHOeu" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Re7SmqHOeu</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/w2ct-wjh5" target="_blank" >10.1103/w2ct-wjh5</a>
Alternative languages
Result language
angličtina
Original language name
Conical singularity in spacetimes with NUT is observer dependent
Original language description
We discuss the issue of defining and measuring conical deficits (conicity) in spacetimes with the torsion singularity such as the Misner string in Taub-NUT spacetime. We propose a geometric definition that generalizes the standard notion of conicity to stationary axially symmetric spacetimes with torsion singularity, where the conical deficit becomes observer dependent-it depends on the choice of a timelike Killing vector. This implies the existence of observers who perceive no conical singularity along the symmetry axis. As a result, in any spacetime with a nonvanishing NUT parameter, there are observers for whom the conicity has the same value on both semiaxes. This challenges the usual interpretation of conicity differences as indicators of string/rod-induced acceleration along the axis. We illustrate our definition across the full Pleba & nacute;ski-Demia & nacute;ski class, including the recently identified accelerated Taub-NUT solution. Our attempts in determining a canonical observer lead to even less desirable definitions of conicity.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
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)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
112
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
104021
UT code for WoS article
001619309800002
EID of the result in the Scopus database
2-s2.0-105026388932