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Gravitational waves are predicted by the general theory of relativity. In [6]D. Christodoulou showed that gravitational waves have a nonlinear memory. Weproved in [3] that the electromagnetic field contributes at highest order tothe nonlinear memory effect of gravitational waves. In the present paper, westudy this electromagnetic Christodoulou memory effect and compute it forbinary neutron star mergers. These are typical sources of gravitationalradiation. During these processes, not only mass and momenta are radiated awayin form of gravitational waves, but also very strong magnetic fields areproduced and radiated away. Thus the observed effect on test masses of a laserinterferometer gravitational wave detector will be enlarged by the contributionof the electromagnetic field. Therefore, the present results are important forthe planned experiments. Looking at the null asymptotics of spacetimes, whichare solutions of the Einstein-Maxwell (EM) equations, we derived in [3] theelectromagnetic Christodoulou memory effect. Moreover, our results allow toanswer astro- physical questions, as the knowledge about the amount of energyradiated away in a neutron star binary merger enables us to gain informationabout the source of the gravitational waves.

The Electromagnetic Christodoulou Memory Effect in Neutron Star Binary Mergers