Theory of nonlocal point transformations in general relativity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F16%3AN0000136" target="_blank" >RIV/47813059:19240/16:N0000136 - isvavai.cz</a>
Result on the web
<a href="https://www.hindawi.com/journals/amp/2016/9619326/" target="_blank" >https://www.hindawi.com/journals/amp/2016/9619326/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2016/9619326" target="_blank" >10.1155/2016/9619326</a>
Alternative languages
Result language
angličtina
Original language name
Theory of nonlocal point transformations in general relativity
Original language description
A discussion of the functional setting customarily adopted in General Relativity (GR) is proposed. This is based on the introduction of the notion of nonlocal point transformations (NLPTs). While allowing the extension of the traditional concept of GR-reference frame, NLPTs are important because they permit the explicit determination of the map between intrinsically different and generally curved space-times expressed in arbitrary coordinate systems. For this purpose in the paper the mathematical foundations of NLPT-theory are laid down and basic physical implications are considered. In particular, explicit applications of the theory are proposed, which concern (1) a solution to the so-called Einstein teleparallel problem in the framework of NLPT-theory; (2) the determination of the tensor transformation laws holding for the acceleration 4-tensor with respect to the group of NLPTs and the identification of NLPT-acceleration effects, namely, the relationship established via general NLPT between particle 4-acceleration tensors existing in different curved space-times; (3) the construction of the nonlocal transformation law connecting different diagonal metric tensors solution to the Einstein field equations; and (4) the diagonalization of nondiagonal metric tensors.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematical Physics
ISSN
1687-9120
e-ISSN
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Volume of the periodical
2016
Issue of the periodical within the volume
June
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
'9619326-1'-'9619326-32'
UT code for WoS article
000382036400001
EID of the result in the Scopus database
2-s2.0-84984691302