Some Exact Solutions of Gravitational Waves Coupled with Fluid Motions
Abstract
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.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- December 1985
- DOI:
- 10.1098/rspa.1985.0115
- Bibcode:
- 1985RSPSA.402..205C
- Keywords:
-
- Einstein Equations;
- Fluid Dynamics;
- Gravitational Waves;
- Ideal Fluids;
- Wave Interaction;
- Coordinate Transformations;
- Cosmology;
- Gauge Theory;
- Singularity (Mathematics);
- Space-Time Functions;
- Astrophysics;
- EINSTEIN EQUATIONS;
- FLUID DYNAMICS;
- GRAVITATIONAL WAVES;
- IDEAL FLUIDS;
- WAVE INTERACTION;
- COORDINATE TRANSFORMATIONS;
- COSMOLOGY;
- GAUGE THEORY;
- SINGULARITY (MATHEMATICS);
- SPACE-TIME FUNCTIONS