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Hidden Conformal Symmetry for the Accelerating Kerr Black Holes
According to the Kerr/CFT correspondence, some aspects of extremal and
non-extremal Kerr black holes could be explained by using a 2D CFT. This
paper is devoted to show how Kerr/CFT correspondence can work for the
slowly accelerating Kerr black holes, in both extremal and non-extremal
cases. The equation of motion for low frequency scalar probes in the near
region possesses the ‘hidden’ conformal symmetry, similar to that of the nonaccelerating
version. Assuming a particular value of associated central charge,
Cardy formula in 2D CFT can recover the Bekenstein–Hawking entropy for
the black hole under consideration. Moreover, agreements in the scattering
process between gravitational and 2D CFT dual suggest the existence of
slowly accelerating Kerr/CFT duality.
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