Virial theorem in general relativity - Consequences for stability of spherical symmetry

Details Virial theorem in general relativity - Consequences for stability of spherical symmetry Virial theorem in general relativity - Consequences for stability of spherical symmetry

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...227..307v&link_type=abstract

Astrophysical Journal, Part 1, vol. 227, Jan. 1, 1979, p. 307-318.

Astronomy and Astrophysics

Astrophysics

6

Astrophysics, Ideal Fluids, Relativity, Stellar Gravitation, Systems Stability, Virial Theorem, Einstein Equations, Flux Density, Inertia, Kinetic Energy, Spheres, Symmetry

Scientific paper

A theoretical formula analogous to the classical virial theorem is developed in general relativity. It depends on quantities defined as kinetic energy, gravitational energy, and inertial momentum. We test our formalism by an attempt to recover known results for global stability of spheres of perfect fluids. There is not limitation on the strength of the gravitational field but only on the perturbation of the equilibrium of the fluid.

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