中国科学G辑(英文版)
中國科學G輯(英文版)
중국과학G집(영문판)
SCIENCE IN CHINA (PHYSICS ASTRONOMY)
2003年
3期
307-320
,共14页
吴雪君%须重明%Michael Soffel
吳雪君%鬚重明%Michael Soffel
오설군%수중명%Michael Soffel
perturbation theory%elastic bodies%Euler variation%post-Newtonian approximation
In this paper the dynamical equations for an elastic deformable body in the first post-Newtonian approximation of Einstein theory of gravity are derived in rotating spherical coordinates. The unperturbed rotating body (the relaxed ground state) is described as uniformly rotating, stationary and axisymmetric configuration in an asymptotically flat space-time manifold. Deviations from the equilibrium configuration are described by means of a displacement field. By making use of the schemes developed by Damour, Soffel and Xu, and by Carter and Quintana we calculate the post-Newtonian Lagrangian strain tensor and symmetric trace-free shear tensor. Considering the Euler variations of Einstein's energy-momentum conservation law, we derive the post- Newtonian energy equation and Euler equations of elastic deformable bodies in rotating spherical coordinates.
