Mathematics – Group Theory
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...209..335m&link_type=abstract
Astrophysical Journal, vol. 209, Oct. 15, 1976, pt. 1, p. 335-349. Research supported by the Colgate Research Council
Mathematics
Group Theory
10
Astrophysics, Big Bang Cosmology, Group Theory, Particle Mass, Relativistic Effects, Black Body Radiation, Brightness Temperature, Conservation Laws, Dimensionless Numbers, Dirac Equation, Galactic Evolution, Mass Distribution, Red Shift, Stellar Evolution
Scientific paper
Homogeneous and isotropic cosmological models in which rest mass is not conserved on the cosmological scale are used to test the hypothesis of continuous mass variation according to the group-theoretical approach. The concept of mass variation in curved spacetime is analyzed, and the behavior of the mass-varying models is compared with that of standard cosmological models. The theory of mass variation is then examined in terms of five dimensionless ratios formed from eight fundamental quantities in order to investigate its astrophysical consequences. The variation of the gravitational coupling constant as a function of observed redshift is derived, and an evolutionary correction to the deceleration parameter for Dirac's theory of a varying gravitational constant, Dirac's theories involving additive and multiplicative creation, and the Hoyle-Narlikar theory is obtained by estimating the evolution of giant elliptical galaxies in the case where all particle masses or the gravitational constant vary with time. It is shown that mass-varying cosmology is quite compatible with evidence for the big bang, that only Dirac's theory involving multiplicative creation leads to a corrected deceleration parameter consistent with the required value, and that the Hoyle-Narlikar theory yields a negative value of the deceleration parameter.
Malin Shimon
Mansfield Victor N.
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