Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003basbr..23...58s&link_type=abstract
Boletim da Sociedade Astronômica Brasileira (ISSN 0101-3440), vol.23, no.1, p.58-58
Astronomy and Astrophysics
Astronomy
Scientific paper
In order to solve some questions present in the standard FRW Cosmology, it is usually assumed that the primordial Universe undergone a phase transition leading to an acceleration expansion stage. During this inflationary regime, the expansion of the universe is driven by a scalar field f(t), which satisfies the following differential equation , where H(t) is the Hubble parameter, V(f) is the potential, and V'(f) denotes its derivative with respect to the scalar field. If V(f) is proportional to f2, the scalar field behaves like a classical oscillator with variable damping. In this work, we study the influence of the thermal bath, assuming that it is responsible for the stochastic evolution of the inflaton field. Analytical solutions for the equation of motion , are obtained, where x(t) satisfy the properties characterizing white and colored noises. This problem may also be important for the study of thermally induced initial density perturbations in inflationary cosmologies, mainly in the framework of warm inflation where the fluctuation dynamics must be described by a Langevin-type equation of motion.
Lima A. S. J.
Silva J. M.
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