The interpretion of the C metric. The vacuum case

Abstract

We present a simplified version of Bonnor's approach to the interpretation of the vacuum C metric as a preparation for using a similar method to investigate the charged case. The idea is to consider the Weyl form of the C metric without calculating the metric components explicitly in terms of the Weyl coordinates. A further coordinate transformation leads to a metric which describes space-time outside the horizons of two Schwarschild-type particles moving with uniform acceleration and joined by a spring.