Scale covariant gravitation. V - Kinetic theory. VI - Stellar structure and evolution

Abstract

view Abstract Citations (2) References (4) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Scale covariant gravitation. V - Kinetic theory. VI - Stellar structure and evolution Hsieh, S. -H. ; Canuto, V. M. Abstract A scale covariant kinetic theory for particles and photons is developed. The mathematical framework of the theory is given by the tangent bundle of a Weyl manifold. The Liouville equation is derived, and solutions to corresponding equilibrium distributions are presented and shown to yield thermodynamic results identical to the ones obtained previously. The scale covariant theory is then used to derive results of interest to stellar structure and evolution. A radiative transfer equation is derived that can be used to study stellar evolution with a variable gravitational constant. In addition, it is shown that the sun's absolute luminosity scales as L approximately equal to GM/kappa, where kappa is the stellar opacity. Finally, a formula is derived for the age of globular clusters as a function of the gravitational constant using a previously derived expression for the absolute luminosity. Publication: The Astrophysical Journal Pub Date: September 1981 DOI: 10.1086/159203 Bibcode: 1981ApJ...248..790H Keywords: Cosmology; Covariance; Gravitation Theory; Kinetic Theory; Stellar Evolution; Stellar Structure; Dwarf Stars; Earth Surface; Hydrodynamic Equations; Liouville Equations; Manifolds (Mathematics); Multiphoton Absorption; Particle Mass; Radiative Transfer; Stellar Luminosity; Thermodynamics; Astrophysics full text sources ADS |