1 research outputs found
Cosmological evolution with negative energy densities
For general number of spatial dimensions we investigate the cosmological
dynamics driven by a cosmological constant and by a source with barotropic
equation of state. It is assumed that for both those sources the energy density
can be either positive or negative. Exact solutions of the cosmological
equations are provided for flat models. For models with curved space and with
zero cosmological constant the general solutions are expressed in terms of the
hypergeometric function. The qualitative evolution is described for all values
of the equation of state parameter. We specify the values of that parameter and
the combinations of the signs for the cosmological constant and matter energy
density for which the cosmological dynamics is nonsingular. An example is
considered with positive cosmological constant and negative matter energy
density induced by the polarization of the hyperbolic vacuum.Comment: 12 pages, 3 figures. Discussion and references added, accepted for
publication in Astrophysic