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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Hamiltonian approach to GR - Part 1: covariant theory of classical gravity
Original language description
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.
Czech name
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Czech description
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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)

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

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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