Physics
Scientific paper
Jul 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..463s&link_type=abstract
General Relativity and Gravitation, vol. 8, July 1977, p. 463-489.
Physics
20
Angular Momentum, Celestial Mechanics, Many Body Problem, Relativity, Stellar Motions, Virial Theorem, Ideal Fluids, Tensors
Scientific paper
The tensor-virial theorem and the angular momentum integral for a system of bodies of finite dimensions are derived in the post-Newtonian approximation of general relativity. For this purpose the Newtonian case is examined first. It is proven that if tidal interactions between the bodies are neglected, it is possible in the post-Newtonian approximation and for each body of the system to define a conserved mass and a corresponding center of mass, to provide expressions for the vanishing of the post-Newtonian self-linear momentum, self-force, and self-torque, and also to write down an appropriate tensor-virial equation. This, in turn, enables one to write down the tensor-virial theorem and the angular momentum integral for the many-body system, which, when expressed in terms of the above masses and centers of masses, reduce to the corresponding expressions valid for a system of point masses in the limiting case where the dimensions of the bodies tend to zero.
No associations
LandOfFree
Tensor-virial equations for post-Newtonian relativistic stellar dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tensor-virial equations for post-Newtonian relativistic stellar dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tensor-virial equations for post-Newtonian relativistic stellar dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1560499