Free radial oscillation of a sphere in relativistic elasticity theory

Physics

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Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Ordinary And Partial Differential Equations, Boundary Value Problems, Elasticity, Fracture, And Flow, Relativity And Gravitation

Scientific paper

The spherically symmetric free radial oscillation in the first post-Newtonian approximation for a homogeneous and isotropic elastic sphere with a constant density is studied. Based on the Xu, Wu, and Soffel formalism, the relation of the oscillation frequency of the sphere with the radius, mass density, and elastic constants of the sphere is derived by using the successive approximation method.

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