Some exact solutions of gravitational waves coupled with fluid motions

Physics – Fluid Dynamics

Scientific paper

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Einstein Equations, Fluid Dynamics, Gravitational Waves, Ideal Fluids, Wave Interaction, Coordinate Transformations, Cosmology, Gauge Theory, Singularity (Mathematics), Space-Time Functions

Scientific paper

Some exact solutions of Einstein's equations are found which represent the interaction of gravitational waves with a perfect fluid in which the velocity of sound equals the velocity of light. These solutions, unlike the solutions representing the collision of impulsive gravitational waves, are bounded by a space-time singularity and have some resemblance to cosmological solutions: every time-like trajectory, extended into the past, encounters the singularity. Moreover, in the generic case, matter may be considered as being created at the singularity.

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