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In present paper, we investigated the quantization of an electromagneticfield in the background of static spherically symmetric d-dimensional spacetimein the Boulware vacuum. We have also calculated the response rate of a staticcharge outside both d-dimensional Schwarzschild black hole and the GB blackhole in the low-frequency regime, which can be expressed as the summation ofhypergeometric functions.

Quantization of the electromagnetic field outside high-dimensional static black holes and its application outside the Gauss-Bonnet black hole