Stability and structure of Newtonian gravitars

Details Stability and structure of Newtonian gravitars Stability and structure of Newtonian gravitars

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982fiz....25...98n&link_type=abstract

Fizika, vol. 25, July 1982, p. 98-102. In Russian.

Other

Astronomical Models, Big Bang Cosmology, Dynamic Stability, Gravitational Effects, Differential Equations, Newton Theory, Polytropic Processes

Scientific paper

The gravitational stability of supercompact configurations is examined on the basis of the chi-approximately-equal-to-r-squared solution for the scalar field obtained by Saakian and Mnatsakanian from the numerical solutions of the equations of hydrostatics in the Jordan-Brans-Dicke approximation. The gamma-not-less-than-2/3 stability condition is obtained for polytropic configurations (gamma is the polytropic index), instead of the gamma-not-less-than-4/3 condition (suitable for not very compact configurations). Analytical solutions are obtained for the internal-structure equations for several other important series of configurations.

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