Physics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991rspsa.432..247c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 432, no. 1885, Feb. 8,
Physics
77
Gravitational Waves, Incident Radiation, Relativistic Theory, Space-Time Functions, Stellar Oscillations, Flux Density, Gravitational Collapse, Stellar Mass
Scientific paper
The excitation of nonradial oscillations in a stellar object by incident gravitational waves is investigated theoretically, modeling the star as a static spherically symmetric distribution of matter described in terms of an energy density and an isotropic pressure. The Newtonian and relativistic approaches to nonradial oscillations are discussed; the formulation of the equations governing the static space-time of the star (Chandrasekhar and Ferrari, 1990) is reviewed; a theory of their polar perturbations is derived; and it is shown how the linearized versions of the equations governing the metric variables and the hydrodynamic variables can be decoupled. The case of a barotropic equation of state is examined in detail, including the interior solution, the exterior solution, a procedure for determining the quasi-normal modes, a direct numerical confirmation of this procedure, dipole oscillations, and axial perturbations. Sample numerical results are presented in tables and graphs and briefly characterized.
Chandrasekhar Subrahmanyan
Ferrari Valeria
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