Metric of the Superposition of a Schwarzschild Black Hole and a Semi-infinite Rod: Vacuum C Metric

By using a coordinate origin translation and a scale transformation, of which both are constants, the metric of the superposition of a Schwarzschild black hole (SBH) and a semi-infinite rod (SIR) is transformed to the standard form of a vacuum C metric (VCM) in Weyl coordinate system, and for this reason the metric is a VCM exactly. Expressions of mass and acceleration parameters in the VCM are obtained. The expressions show, as a result of the superposition, both the mass of the SBH and the acceleration parameter of the SIR take very great and complex changes.