Gravitational radiation of an isotropic elastic sphere

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Gravitational Waves, Isotropic Media, Spheres, Thermal Radiation, Eigenvalues, Elastodynamics, Free Vibration, Luminosity, Temperature Dependence

Scientific paper

Within the framework of linearized elastodynamics and gravidynamics the gravitational radiation of an isotropic elastic sphere without internal damping is calculated. After thermal occupation of the energy eigenstates, gravitational luminosities proportional to T-squared and T for T less than T(D) and T much greater than T(D), respectively, where T(D) is the Debye temperature. In both cases the luminosity is proportional to the surface of the sphere, although the material is transparent for gravitational radiation.

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