Phys. Rev. D 102, 044054 (2020)                 arXiv link

Einstein-Maxwell-dilaton theory in Newman-Penrose formalism

Wen-Di Tan

Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China

Abstract

In this paper, we study the four-dimensional Einstein-Maxwell-dilaton theories in the Newman-Penrose (NP) formalism. We adapt the equations of motion into the NP formalism, and obtain the solution space that is asymptotic to the flat space-time. We then investigate the gravitational and electromagnetic memory effects. We find that the dilaton does not contribute to the displacement nor the kick memory effects, but it does contribute to the time-delayed memory effect.