Newman-Penrose formalism and exact vacuum solutions to conformal Weyl gravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00380196" target="_blank" >RIV/68407700:21340/24:00380196 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevD.110.124006" target="_blank" >https://doi.org/10.1103/PhysRevD.110.124006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.110.124006" target="_blank" >10.1103/PhysRevD.110.124006</a>
Alternative languages
Result language
angličtina
Original language name
Newman-Penrose formalism and exact vacuum solutions to conformal Weyl gravity
Original language description
We study the exterior solution for a static, spherically symmetric source in Weyl conformal gravity in terms of the Newman-Penrose formalism. We first show that both the static, uncharged black hole solution of Mannheim and Kazanas and the static, charged Reissner-Nordstr & ouml;m-like solution can be found more easily in this formalism than in the traditional coordinate-basis approach, where the metric tensor components are taken as the basic variables. Second, we show that the Newman-Penrose formalism offers a particularly convenient framework that is well suited for the discussion of conformal gravity solutions corresponding to Petrov "type-D" spacetimes. This is illustrated with a two-parameter class of wormhole solutions that includes the Ellis-Bronnikov wormhole solution of Einstein's gravity as a limiting case. Other salient issues, such as the gauge equivalence of solutions and the inclusion of the electromagnetic field are also discussed.
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
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
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
110
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
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UT code for WoS article
001375053200005
EID of the result in the Scopus database
2-s2.0-85211045180