General Relativistic Theory of Perturbations in a Perfect Fluid and the Possibility of Landau Damping of Gravitational Radiation.
Abstract
Linear perturbation theory is applied to the problem of the modes in a perfect fluid as described by a selfconsistent general relativistic theory and to the problem of Landau damping of gravitational radiation in a collisionless gas, also a selfconsistent general relativistic analysis. A spatially flat Robertson Walker metric is used in the calculations. The treatment of fluid perturbations is done in a different gauge than previously published work. The treatment of Landau damping finds that gravitational waves in matter obey the same dispersion relation as light in a vacuum of similar spacetime structure. The conclusions are that linear theory predicts only nondispersive sound modes and vacuumlike gravitational waves in a perfect fluid. Landau damping is not possible due to the lightspeed of gravitational waves.
 Publication:

Ph.D. Thesis
 Pub Date:
 1979
 Bibcode:
 1979PhDT........60G
 Keywords:

 Physics: Fluid and Plasma;
 Gravitational Waves;
 Ideal Fluids;
 Landau Damping;
 Perturbation;
 Relativistic Theory;
 Equivalence;
 Gauge Invariance;
 SpaceTime Functions;
 Wave Dispersion;
 Fluid Mechanics and Heat Transfer