Induced Quantum Fluctuations In The Spherically Symmetric Space-time
International Journal Of Modern Physics A
Science, Technology and Society
In the Schwarzschild field due to a mass moving with velocity v --> c(0), where c(0) is the speed of light in vacuum, the source-induced quantum fluctuation in the light cone exhibits consistency with the Aichelburg-Sexl solution while that in the metric dynamical variable does not. At the horizon, none of the fluctuations is proportional to anything finite. However, in the nonrelativistic limit (v --> 0), known expressions follow.
Nandi, K. K., A. Islam, and James C. Evans. 1997. "Induced quantum fluctuations in the spherically symmetric space-time." International Journal Of Modern Physics A 12(18): 3171-3180.