Mathematics
Scientific paper
Feb 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phdt........15b&link_type=abstract
Ph.D. Thesis Pennsylvania State Univ., University Park.
Mathematics
6
Fluid Mechanics, Gravitation Theory, Relativity, Stars, Stellar Models, Stellar Systems, Energy Distribution, Mass Distribution, Mathematical Models
Scientific paper
Stationary stars in the Brans-Dicke-Jordan theory of gravitation were modeled and studied. Cold, superdense, perfect fluid configurations were investigated and exact and approximate solutions were found which suggest that there is a maximum mass for cold matter beyond which equilibrium cannot be achieved. Methods for generating Brans-Dicke-Jordan solutions from known solutions of general relativistic perfect fluids and from Einstein-Maxwell equations, are presented. The stability of equilibrium configurations was studied using a critical based on energy considerations alone and the case of radial perturbations of spherically symmetric perfect fluids in general relativity is discussed.
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