Very early cosmology in the maximal acceleration hypothesis

Mathematics

Scientific paper

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Acceleration (Physics), Astronomical Models, Big Bang Cosmology, Evolution (Development), Radiation Distribution, Singularity (Mathematics), Universal Time, Vacuum

Scientific paper

It is stressed that the very early Universe provides an example of a physical system in which the phenomenological consequences of a natural limit of the accelerations cannot be neglected. It is shown that the existence of such limit leads necessarily to modify the standard model in a way which avoids the initial singularity and introduces an inflationary expansion of the power-law type. The possibility is also suggested to relate the maximal acceleration hypothesis to a decaying vacuum scenario, in which the cosmological constant is proportional to the radiation density, and is then a decreasing function of the cosmic time.

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