A formulation of the virial theorem in general relativity

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Published under licence by IOP Publishing Ltd
, , Citation Eric Gourgoulhon and Silvano Bonazzola 1994 Class. Quantum Grav. 11 443 DOI 10.1088/0264-9381/11/2/015

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1 Département d'Astrophysique Relativiste et de Cosmologie (UPR 176 du CNRS), Observatoire de Paris---Section de Meudon, F-92195 Meudon Cedex, France

Dates

  1. Received 10 August 1993

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0264-9381/11/2/443

Abstract

A relativistic generalization of the classical virial theorem is obtained for any stationary and asymptotically flat spacetime. This formulation is derived within the 3+1 formalism of general relativity. It may be useful as a consistency check of numerical solutions of the Einstein equations.

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10.1088/0264-9381/11/2/015