Narrow Results

Wave propagation of field disturbances is ubiquitous. The electromagnetic and gravitational are cousin theories in which the corresponding waves play a relevant role to understand several related physical aspects. It has been established that small electromagnetic waves can generate gravitational waves and vice versa when scattered by a charged black hole. In the realm of cylindrical spacetimes, we present here a simple nonlinear effect of the conversion of electromagnetic to gravitational waves reflected by the amount of mass extracted from them.

In this short contribution we calculate the Bondi mass of asymptotically flat spacetimes with interacting electromagnetic and scalar fields. We present the system of coupled Einstein-Maxwell-Klein-Gordon equations in the spinor form and show final expressions for the Bondi mass and corresponding mass-loss formula. Details of the calculations, including the full set of the Newman-Penrose equations for the system considered, can be found in Ref. 11

Asymptotic properties of the C-metric are analyzed, using the method specified in work of Tafel and coworkers,^1–3. The news function and Bondi mass aspect,^8,9 are computed, their general properties are analyzed, as well as the small mass, small acceleration, small and large Bondi time limits.