General-relativistic perturbation equations for the dynamics of elastic deformable astronomical bodies expanded in terms of generalized spherical harmonics

Journal Article · Sat Jan 15 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.024030· OSTI ID:20705848

Chongming, Xu; Xuejun, Wu; Soffel, Michael ^[1]

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1. Department of Physics, Nanjing Normal University, Nanjing 210097 (China)

In our previous paper, based on the Carter and Quintana framework and the Damour-Soffel-Xu scheme, we deduced a complete and closed set of post-Newtonian dynamical equations for elastically deformable astronomical bodies. In this paper, we expand the general-relativistic perturbation equations of elastic deformable bodies (field equations, stress-strain relation, Euler equation) in terms of Generalized Spherical Harmonics. This turns the set of complicated partial differential equations into a set of ordinary differential equations. This will be useful for numerical applications that mainly deal with the global dynamics of the Earth.

• OSTI ID: 20705848
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevD.71.024030; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
58 GEOSCIENCES
COSMOLOGY
DISTURBANCES
FIELD EQUATIONS
GENERAL RELATIVITY THEORY
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
RELATIVISTIC RANGE
SPHERICAL HARMONICS
STRAINS
STRESSES