Slowly rotating wormholes: the first-order approximation

We discuss a solution describing a rotating wormhole in general relativity with a scalar field source having negative kinetic energy. To solve the problem, we use the assumption of slow rotation. The role of a small dimensionless parameter is played the ratio of the linear velocity of rotation of the wormhole throat and the velocity of light. The rotating wormhole solution is constructed in the first-order approximation with respect to the small parameter. We analyze the solution obtained and study test particle motion and light propagation in the spacetime of a rotating wormhole. Talk given at the Russian School-Seminar on Modern Problems of Gravitation and Cosmology, Kazan-Yal’chik, 10–15 September 2007.