Variational principles for energy-momentum tensors
type: Item
instance of: scholarly article
title: Variational principles for energy-momentum tensors
zbMATH Open document ID: 1016.58006
DOI: 10.1016/S0034-4877(02)80024-6
published in: Reports on Mathematical Physics
publication date: 2003-01-22T00:00:00Z
review text: The paper gives some basic concepts of the standard variational formulation of the general relativity theory. The emphasis of this paper is put on analyzing the structure of Lagrangian for the first-order interactions, which, by author's definition, denotes the searched Lagrangian of a coupled physical problems ( such as electromagnetic field, perfect fluid, dust), and depends on the independent fields and their first derivatives. The Lagrangian for Einstein equations is obtained, some useful theorems are also provided in the paper.
reviewed by: Ji-Huan He
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 53D12
Mathematics Subject Classification ID: 70S05
zbMATH DE Number: 1857361
zbMATH Keywords: variational principle
zbMATH Keywords: Einstein equation
author: Demeter Krupka
MaRDI profile type: Publication
cites work: On the Existence of Global Variational Principles
cites work: Stress-energy-momentum tensors in higher order variational calculus
cites work: The Hamilton-Cartan formalism in the calculus of variations
cites work: Q4036977
cites work: A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
cites work: Lagrange theory in fibered manifolds
cites work: Q3658649
cites work: Q4103822
cites work: Q5567753
description: scientific article; zbMATH DE number 1857361