Hamiltonian approach to GR - Part 1: covariant theory of classical gravity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F17%3AA0000016" target="_blank" >RIV/47813059:19240/17:A0000016 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4854-1" target="_blank" >https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4854-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-017-4854-1" target="_blank" >10.1140/epjc/s10052-017-4854-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Hamiltonian approach to GR - Part 1: covariant theory of classical gravity

Popis výsledku v původním jazyce

A challenging issue in General Relativity concerns the determination of the manifestly covariant continuum Hamiltonian structure underlying the Einstein field equations and the related formulation of the corresponding covariant Hamilton-Jacobi theory. The task is achieved by adopting a synchronous variational principle requiring distinction between the prescribed deterministic metric tensor (g) over cap (r) equivalent to {(g) over cap _(mu nu) (r)} solution of the Einstein field equations which determines the geometry of the background spacetime and suitable variational fields x equivalent to {g, pi} obeying an appropriate set of continuum Hamilton equations, referred to here as GR-Hamilton equations. It is shown that a prerequisite for reaching such a goal is that of casting the same equations in evolutionary form by means of a Lagrangian parametrization for a suitably reduced canonical state. As a result, the corresponding Hamilton-Jacobi theory is established in manifestly covariant form. Physical implications of the theory are discussed. These include the investigation of the structural stability of the GR-Hamilton equations with respect to vacuum solutions of the Einstein equations, assuming that wave-like perturbations are governed by the canonical evolution equations.

Název v anglickém jazyce

Hamiltonian approach to GR - Part 1: covariant theory of classical gravity

Popis výsledku anglicky

A challenging issue in General Relativity concerns the determination of the manifestly covariant continuum Hamiltonian structure underlying the Einstein field equations and the related formulation of the corresponding covariant Hamilton-Jacobi theory. The task is achieved by adopting a synchronous variational principle requiring distinction between the prescribed deterministic metric tensor (g) over cap (r) equivalent to {(g) over cap _(mu nu) (r)} solution of the Einstein field equations which determines the geometry of the background spacetime and suitable variational fields x equivalent to {g, pi} obeying an appropriate set of continuum Hamilton equations, referred to here as GR-Hamilton equations. It is shown that a prerequisite for reaching such a goal is that of casting the same equations in evolutionary form by means of a Lagrangian parametrization for a suitably reduced canonical state. As a result, the corresponding Hamilton-Jacobi theory is established in manifestly covariant form. Physical implications of the theory are discussed. These include the investigation of the structural stability of the GR-Hamilton equations with respect to vacuum solutions of the Einstein equations, assuming that wave-like perturbations are governed by the canonical evolution equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

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

77

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

'329-1'-'329-16'

Kód UT WoS článku

000401899900001

EID výsledku v databázi Scopus

2-s2.0-85019833905