SPEAKER: Victor Berezin (INR RAS)

ABSTRACT: The general structure of the spherically symmetric solutions in the Weyl conformal gravity is described. The corresponding Bach equations are derived for the special type of metrics, which can be considered as the representative of the general class. The complete set of the pure vacuum solutions is found. It consists of two classes. The first one contains the solutions with constant two-dimensional curvature scalar of our specific metrics, and the representatives are the famous Robertson--Walker metrics. One of them we called the ``gravitational bubbles'', which is compact and with zero Weyl tensor. The second class is more general, with varying curvature scalar. We found its representative as the one-parameter family. It appears that it can be conformally covered by the thee-parameter Mannheim--Kazanas solution. Also, the general structure of the energy-momentum tensor in the spherical conformal gravity is investigated and the vectorial equation is constructed that reveals clearly the same features of non-vacuum solutions. As the examples, the analogs of a la Vaidya and a la Reissner-Nordstrom solutions are explicitly written.