Can the Big-Bang singularity be avoided in the scale-covariant theory?

Mathematics

Scientific paper

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Big Bang Cosmology, Gravitation Theory, Singularity (Mathematics), Einstein Equations, Relativistic Theory

Scientific paper

The Raychaudhuri (1955) equation is written in terms of atomic units in the scale-covariant theory of Canuto et al. (1977), and it is pointed out that even dust-filled nonrotating cosmological models may not have an observable singularity of infinite density in the beginning. Simple explicit solutions of Einstein's equations are also constructed in terms of atomic units and it is shown that the Einstein-de Sitter solution in gravitational units may appear to be a static or an oscillating universe in atomic units.

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