Absorption of gravitational energy by a viscous compressible fluid in a curved spacetime

Computer Science – Sound

Scientific paper

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Astronomical Models, Compressible Fluids, Gravitational Waves, Magnetohydrodynamics, Relativity, Viscous Fluids, Absorption Cross Sections, Energy Absorption, Equations Of Motion, S Waves, Sound Waves, Space-Time Functions

Scientific paper

The response of a viscous, compressible fluid in a curved spacetime to an incident gravitational wave is calculated. This response consists of a sound wave and a shear wave, and the absorption cross section is evaluated in terms of these waves. While the cross section is small for Newtonian velocities, it does increase as the speed of sound increases. Thus, the more rigid the fluid becomes, i.e., the higher the sound velocity, the more the fluid absorbs the energy of the gravitational wave, suggesting that in some circumstances not much gravitational wave energy escapes from the environment of the radiating object.

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