Uniformly Accelerating Charged Mass in General Relativity

Smooth metrics for snapping strings

“…The Israel-Khan metric represents two black holes held in equilibrium by a strut, but can be readily modified to have two strings extending to infinity. The key observation about these metrics is that the horizons of the two black holes can be identified, forming a wormhole in space [11,16]. The presence of this wormhole then provides a hole through which the string can exit, thus it is not necessary to consider charged black holes and topologically unstable strings, these uncharged metrics can directly 'swallow' a NielsenOlesen vortex.…”

“…Such a situation occurs in the other metrics considered by Aryal, Ford and Vilenkin, namely the C-metrics [11] and a modification of the static metrics considered by Israel and Khan [15]. A C-metric is an axially symmetric solution to the Einstein equations which represents two black holes uniformly accelerating apart.…”

“…The main difference between the AFV metric and the C-metrics, [11], used in [6][7][8] is that the latter represents a non-static process. From the technical point of view, the main difference is that in the one case (AFV) we have an almost cylindrically symmetric situation, whereas in the latter case, and also in the case of black holes in static equilibrium, there is an asymmetry of the system in that the string locally terminates on the event horizon.…”

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“…It was shown already in 1970 by Kinnersley and Walker [4] that this describe a pair of uniformly accelerating black holes of masses m and possible charges e in Minkowski background. The acceleration A is caused by conical singularities which may be interpreted either as a strut between the two black holes or two semi-infinite strings connecting them to infinity.…”

Some High-Frequency Gravitational Waves Related to Exact Radiative Spacetimes

“…Among the most important classes are planar pp -waves [17,18] which belong to a large family of non-expanding radiative spacetimes [19,20], cylindrical Einstein-Rosen waves [21], expanding "spherical" waves of the Robinson-Trautman type [22,23], spacetimes with boost-rotation symmetry representing radiation generated by uniformly accelerated sources [24,25,26], cosmological models of the Gowdy type [27], and others -for comprehensive reviews containing also a number of references see, e.g., [28,30,31,29,32].…”