Titre du document

Post-Newtonian Methods and Conservation Laws

Lien vers le document
Nom du Corpus

AstroConcepts

Auteur(s)
  • S. Chandrasekhar
Affiliation(s)
  • University of Chicago, Chicago, Illinois, USA
Résumé

The present paper is concerned with the conservation laws in general relativity as expressed in terms of the Landau-Lifshitz complex and their role in the development of the successive post-Newtonian approximations to the equations of general relativity of a perfect fluid. In § I, the known conservation laws of Newtonian hydrodynamics are formulated in a language that the relativistic laws appear as natural generalizations. In § II, the same laws are considered in the framework of general relativity. In particular the conserved energy is identified as the difference between the (0,0)-component of the Landau-Lifshitz complex and the conserved rest-mass energy ($={{c}^{2}}p{{u}^{0}}\sqrt{-g}$). In § III, the development of the first and the second post-Newtonian approximations to the equations of relativistic hydrodynamics are described and illustrated. And finally in § IV, the manner in which one can obtain the equations of the 2 1/2 — post-Newtonian approximation is described. In this approximation all terms inclusive of O(c?5) beyond the Newtonian are retained; it is in this approximation that terms representing the reaction of the fluid to the emission of gravitational radiation by the system first make their appearance. It is shown how the derived radiation-reaction terms of O(c?5) contribute to the dissipation of energy and angular momentum in agreement with the predictions of the linearized theory of gravitational radiation.

Langue(s) du document
Anglais
Année de publication
1970
Revue

Relativity

Éditeur
Springer (e-books)
Type de publication
book
Type de document
chapter
Présence de XML structuré
Non
Version de PDF
1.4
Score de qualité du texte
9.616
Nom du concept
  • Post Newtonian approximation
Identifiant ISTEX
FEAB206D901EFFE3D2FBB28D9E87401BF6E1B30B
ark:/67375/HCB-5XF1VQZT-B
Powered by Lodex 9.4.5