Theory of nonlocal point transformations in general relativity

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Theory of nonlocal point transformations in general relativity

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Theory of nonlocal point transformations in general relativity

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BN - Astronomie a nebeská mechanika, astrofyzika

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Advances in Mathematical Physics

ISSN

1687-9120

e-ISSN

—

Svazek periodika

2016

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

32

Strana od-do

'9619326-1'-'9619326-32'

Kód UT WoS článku

000382036400001

EID výsledku v databázi Scopus

2-s2.0-84984691302