Relativistic gyratons in asymptotically AdS spacetime

The gravitational field created by beams of radiation, and pulses of light has been studied intensively since a pioneer paper by Tolman [1] who found the solution of gravitational equations in linear approximation. The exact solutions of the Einstein equations for the pencil of light has been found by Peres [2, 3] and Bonnor [4]. The gravitational field of a spinning beam-pulse of finite duration, a gyraton, generalizes these solutions to the case when the beam-pulse carries an angular momentum [5, 6]. A typical example of a gyraton would be a pulse of a circular polarized light or a modulated beam of ultrarelativistic particles with a spin. The gravitational field of the gyraton is parametrized by a number of arbitrary functions of the retarded time u. These functions arise through the dependence on u of the coefficients in mode expansion of the gravitational field. They describe profiles of the energy density and angular momenta distributions of the gyraton propagating in an asymptotically flat D-dimensional spacetime. The gyraton solutions in asymptotically flat spacetimes belong to a general class of pp-waves. In the limit of an infinitesimally short impulse and zero angular momentum the solutions describes a gravitational field of an ultrarelativistic particle - a gravitational shock wave [7]. In this paper we generalize results for gyratons in asymptotically flat spacetime [5, 6] to the case when a spacetime is asymptotically AdS. That is, we obtain exact solutions for the geometry of the gyraton propagating in an asymptotically AdS background. For zero angular momentum these solutions belong to the type of Siklos spacetimes [8] generalized to higher dimensions. In the limit of a δ(u)-like impulse these solutions correspond to gravitational shock waves in AdS spacetime. Similar to shock waves in a flat spacetime the solutions can be derived using an infinite boost of the gravitational field of a