Post Newtonian Rigid Body

Details Post Newtonian Rigid Body Post Newtonian Rigid Body

2003-06-04

arxiv.org/abs/gr-qc/0306015v1

Phys.Rev. D69 (2004) 024003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4, 5 pages

Scientific paper

10.1103/PhysRevD.69.024003

In this paper, it is the first time to construct a complete post-Newtonian (PN) model of a rigid body by means of a new constraint on the mass current density and mass density. In our PN rigid body model most of relations, such as spin vector proportional to the angular velocity, the definition on the moment of inertia tensor, the key relation between the mass quadrupole moment and the moment of inertia tensor, rigid rotating formulae of mass quadrupole moment and the moment of inertia tensor, are just the extension of the main relations in Newtonian rigid body model. When all of $1/c^2$ terms are neglected, the PN rigid body model and the corresponding formulae reduce to Newtonian version. The key relation is obtained in this paper for the first time, which might be very useful in the future application to problems in geodynamics and astronomy.

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