Abstract In this paper,vacuum C-metric when m=0 is derived from the metric of a Schwarzschild black hole if its mass and location approach to infinity in an appropriate way.Furthermore,by using coordinate transformation in which there is no acceleration,vacuum C-metric when m=0 is transformed to Rindler metric.The result shows that an infinitesimal neighborhood of the horizon of an infinite Schwarzschild black hole is a Rindler space-time,and the acceleration in the Rindler space-time can arise from the in finite Schwarzschild black hole.
Received: 19 February 1997
Accepted manuscript online:
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