Braneworld dynamics with vacuum polarization

We investigate the cosmological dynamics of a brane Universe when quantum corrections from vacuum polarization are taken into account. New vacuum de Sitter points existing on Randall-Sundrum brane are described. We show also that quantum correction can destroy the DGP de Sitter solution on induced gravity brane. † Electronic mail: [email protected] ‡ Electronic mail: [email protected] Investigations of quantum effects in a strong gravitational field and their applications in cosmology have a long story. Since the beginning of 70-th many interesting results modifying the standard Friedmann cosmology due to vacuum polarization and particle production have been obtained. In particular, a vacuum de Sitter solution and an inflationary regime driven solely by vacuum polarization without any matter was described almost simultaneously with a common scalar field inflationary scenario [1]. A detailed analysis of cosmology with vacuum polarization (we will consider only this effect in the present paper) have been done in [2]. After some period of stagnation, this problem begins to attract a considerable attention last several years, mainly due to development of modified gravity models. The form of extra terms in cosmological equations of motion caused by vacuum polarization does not depend on a particular theory of gravity, however, peculiarities of a background metric in these theories could