On the possibility of general relativistic oscillations

Details On the possibility of general relativistic oscillations On the possibility of general relativistic oscillations

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979anihp..31..339k&link_type=abstract

Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 31, Nov. 16-Dec. 31, 1979, p. 339-353.

Astronomy and Astrophysics

Astrophysics

6

Astrophysics, Einstein Equations, Radial Velocity, Relativistic Velocity, Density, Oscillations

Scientific paper

A group of solutions of Einstein's field equations for a spherically symmetric distribution of matter is investigated. If the mass is at rest at the initial moment and the pressure and density are both zero at the boundary (gas cloud or dust cloud with a density gradient defined everywhere), it is found that oscillations are not possible. If the density at the boundary is positive, it is shown that, for some classes of solutions, oscillations are not possible, whereas other classes of solutions satisfy necessary conditions for oscillatory motion. However, these conditions are in general not sufficient.

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