Non-trivial quantum fluctuations in asymptotically non-flat black-hole space–times

Hawking radiation remains a crucial theoretical prediction of semi-classical gravity and is considered one the critical tests for model quantum gravity. However, Hawking’s original derivation used field theory on fixed background. Efforts have been made to include space–time fluctuations arising from quantization dynamical degrees freedom itself study effects particles. Using analysis, we scalar stress-tensors in asymptotic non-flat spherically symmetric black-hole space–times. two different approaches, obtain length-scale horizon at which gravitational interactions become large, i.e., when back reaction metric due becomes significant. For 4-D Schwarzschild AdS (SAdS) de Sitter (SdS), number relevant modes back-reaction finite only specific range values M / L (where mass black-hole, related modulus cosmological constant). SAdS infinite ∼ 1 ( 0 . 2 < 3 ) We discuss implications these results late stages evaporation. • Quantum fields black hole Statistical Mechanical, Field Theoretic backreaction length scale calculation. Implications radiation, unitarity thermodynamics.