A formulation of the virial theorem in general relativity
- 1 February 1994
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 11 (2), 443-452
- https://doi.org/10.1088/0264-9381/11/2/015
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.Keywords
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