Mathematics
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.138..387g&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 138, no. 2, Nov. 1987, p. 387-391.
Mathematics
27
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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