Variational theory of the Ricci curvature tensor dynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F21%3AA0000134" target="_blank" >RIV/47813059:19630/21:A0000134 - isvavai.cz</a>

Výsledek na webu

<a href="https://epjc.epj.org/articles/epjc/abs/2021/11/10052_2021_Article_9847/10052_2021_Article_9847.html" target="_blank" >https://epjc.epj.org/articles/epjc/abs/2021/11/10052_2021_Article_9847/10052_2021_Article_9847.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-021-09847-6" target="_blank" >10.1140/epjc/s10052-021-09847-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Variational theory of the Ricci curvature tensor dynamics

Popis výsledku v původním jazyce

In this letter a new Lagrangian variational principle is proved to hold for the Einstein field equations, in which the independent variational tensor field is identified with the Ricci curvature tensor R mu. rather than the metric tensor g mu.. The corresponding Lagrangian function, denoted as L R, is realized by a polynomial expression of the Ricci 4-scalar R = g mu. R mu. and of the quadratic curvature 4scalar. = R mu. R mu.. The Lagrangian variational principle applies both to vacuum and non-vacuum cases and for its validity it demands a non-vanishing, and actually also positive, cosmological constant similar to &gt; 0. Then, by implementing the deDonder-Weyl formalism, the physical conditions for the existence of amanifestly-covariant Hamiltonian structure associated with such a Lagrangian formulation are investigated. As a consequence, it is proved that the Ricci tensor can obey a Hamiltonian dynamics which is consistent with the solutions predicted by the Einstein field equations.

Název v anglickém jazyce

Variational theory of the Ricci curvature tensor dynamics

Popis výsledku anglicky

In this letter a new Lagrangian variational principle is proved to hold for the Einstein field equations, in which the independent variational tensor field is identified with the Ricci curvature tensor R mu. rather than the metric tensor g mu.. The corresponding Lagrangian function, denoted as L R, is realized by a polynomial expression of the Ricci 4-scalar R = g mu. R mu. and of the quadratic curvature 4scalar. = R mu. R mu.. The Lagrangian variational principle applies both to vacuum and non-vacuum cases and for its validity it demands a non-vanishing, and actually also positive, cosmological constant similar to &gt; 0. Then, by implementing the deDonder-Weyl formalism, the physical conditions for the existence of amanifestly-covariant Hamiltonian structure associated with such a Lagrangian formulation are investigated. As a consequence, it is proved that the Ricci tensor can obey a Hamiltonian dynamics which is consistent with the solutions predicted by the Einstein field equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

European Physical Journal C

ISSN

1434-6044

e-ISSN

1434-6052

Svazek periodika

81

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

„1030-1“-„1030-7“

Kód UT WoS článku

000722617400002

EID výsledku v databázi Scopus

2-s2.0-85120675432