Computer Science
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16...89l&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Jan. 1984, p. 89-98.
Computer Science
2
Gravitation Theory, Gravitational Waves, Oscillations, Relativistic Theory, Spheres, Equations Of Motion, Viscoelasticity
Scientific paper
The effect of a plane gravitational wave on a Newtonian system comprising a self-gravitating elastic sphere without rotation is considered. The equation governing the elastic oscillations is determined within the framework of general relativity. Dissipative processes are included by using a simple relativistic model of viscoelasticity. In cases where the wavelength is significantly greater than the dimension of the elastic sphere, these equations are transformed into the form derived by Ashby and Dreitlein (1975). A determination is also made of the equations governing the elastic oscillations within the framework of the Brans-Dicke (1961) scalar-tensor theory of gravitation. It is believed that the method presented here will lend itself to more complicated models.
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