Abstract
Boost-rotation symmetric spacetimes are the only axially symmetric vacuum spacetimes with an additional symmetry that are radiative and admit global null infinity1,2. They are the only radiative asymptotically flat exact solutions representing the gravitational field of moving objects – uniformly accelerated "particles" of various kinds3. The general theory of boost-rotation symmetric spacetimes was first developed for nonspinning sources4 (i.e. for hypersurface orthogonal Killing vectors) and later partially generalized for spinning sources5. The C-metric3 and the spinning C-metric6,7,8 belonging to this class were analyzed. With appropriately chosen parameters they represent the gravitational field of uniformly accelerated Schwarzschild and Kerr black or white holes. Stability of geodesics describing co-accelerated particles was also studied using an effective potential9 and a Lyapunov function8.
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