We study the pole-skipping phenomenon of scalar retarded Green's function in rotating BTZ black hole background. In static case, points are typically located at negative imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with appropriate values complex wave number $q$. But, a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently. As res...

The semiclassical Einstein equations are solved to first order in ǫ = h̄/M for the case of an extreme or nearly extreme Reissner-Nordström black hole perturbed by the vacuum stress-energy of quantized free fields. It is shown that the perturbed solution at first order is not unique; there exists a sequence of solutions with varying values of the position of the event horizon, rh. The smaller the...