Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime

摘要

In this work, the dynamic of isolated systems in general relativity isdescribed when gravitational radiation and electromagnetic fields are present.In this construction, the asymptotic fields received at null infinity togetherwith the regularized null cone cuts equation, and the center of mass of anasymptotically flat Einstein-Maxwell spacetime are used. A set of equations arederived in the low speed regime, linking their time evolution to the emittedgravitational radiation and to the Maxwell fields received at infinity. Theseequations should be useful when describing the dynamic of compact sources, suchas the final moments of binary coalescence and the evolution of the final blackhole. Additionally, we compare our equations with those coming from a similarapproach given by Newman, finding some differences in the motion of the centerof mass and spin of the gravitational system.