Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..295d&link_type=abstract
Astrophysics and Space Science, vol. 31, Dec. 1974, p. 295-304. Research supported by the National Research Council of Canada.
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Dynamic Stability, Gravitation Theory, Relativistic Theory, Stellar Structure, Supergiant Stars, Energy, Metric Space, Relativistic Effects, Stellar Evolution, Stellar Mass
Scientific paper
The binding energy and stability of supermassive stars (SMS's) are examined in the framework of the Parametrized Post-Newtonian (PPN) formalism of Will and Nordvedt. The PPN formalism encompasses the post-Newtonian limit of virtually every theory of gravity, differentiating between theories by means of nine PPN parameters. A general expression is derived for the energy integral in the PPN framework, and those theories in which the energy will be conserved are defined. In all such theories, a SMS of radius less than a critical radius will be unstable against adiabatic radial perturbations. Present experimental limits on the PPN parameters gamma and beta do not exclude the possibility of the existence of stable, non-rotating, hydrogen-burning SMS's of masses an order of magnitude larger than the upper limit for the mass of such stars predicted in general relativity.
Anand P. S. S.
Duncan Martin
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