Mathematics – Logic
Scientific paper
Apr 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ncimr..19d...1c&link_type=abstract
Riv. Nuovo Cimento, Vol. 19, No. 4, p. 2 - 114
Mathematics
Logic
Cosmological Models, Cosmology: Inflationary Universe, Universe: Large-Scale Structure
Scientific paper
The cosmological problem can be approached in several ways. The issue is essentially connected with the fact that no ultimate, theory still exists. The standard cosmological model, which describes the observed Universe sufficiently well, fails in the very early stages of evolution since it cannot coherently solve some shortcomings. They essentially are the flatness, the horizon, the isotropy problems and, mainly, the singularity problem, that is the failure of general relativity at primordial eras. In that framework, it is not possible to explain the large-scale structure starting from some theory of primordial perturbations. Such problems can be solved, through the inflationary paradigm, which essentially means to change matter and/or gravitational sectors in GR and to obtain, by these changes, a superluminal expansion of the cosmological background. Inflation is realized in several ways. It becomes extremely important to handle cosmological models coming from many kinds of theories. Nöther symmetries seems to address this issue since it allows to solve exactly the dynamics of several theories. The interest in such an approach becomes greater since the solutions found are physically interesting. The solutions the authors have found are Friedmann, power law, pole-like and de-Sitter-like, that is they cover the whole range of usually required cosmological behaviours. From the observational point of view such solutions can be interpreted as the background on which to compare the observational data from large-scale structure or on which to formulate a theory of cosmological perturbations.
Capozziello Salvatore
de Ritis Riccardo
Rubano Claudio
Scudellaro Paolo
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