Scale-covariant stellar dynamics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Covariance, Gravitation Theory, Particle Motion, Space-Time Functions, Stellar Motions, Stellar Systems, Conservation Laws, Metric Space, Newton Theory, Particle Theory, Relativity

Scientific paper

Scale-covariant gravitation theory, as developed in former papers (Dirac, 1973; Canuto et al., 1977; Bouvier and Maeder, 1978; Maeder and Bouvier, 1978), is examined here with respect to the dynamics of a particle, either free in curved space-time, or either free or submitted to a weak gravitational field in a flat space-time which is conformally equivalent to the Minkowski space-time. The theory is further extended, adopting a scale factor varying as the inverse of time, to the Newtonian dynamics of self-gravitating systems of particles, namely stellar systems. The usual laws of conservation become then laws of secular evolution, when written in the atomic units in which all the measurements are performed. As a consequence of these developments, an explanation is proposed of the mass excess dilemma met in extended cosmic configurations.

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