Abstract
The purpose of this study is to investigate radiation from asymptotic zero acceleration motion where a horizon is formed and subsequently detected by an outside witness. A perfectly reflecting moving mirror is used to model such a system and compute the energy and spectrum. The trajectory is asymptotically inertial (zero proper acceleration)—ensuring negative energy flux (NEF), yet approaches light-speed with a null ray horizon at a finite advanced time. We compute the spectrum and energy analytically.
Highlights
Recent studies have utilized the simplicity of the established moving mirror model [1,2,3,4,5,6]by applying accelerating boundary correspondences (ABC’s) to novel situations, including the Schwarzschild [7], Reissner-Nordström (RN) [8], Kerr [9], and de Sitter [10] geometries, whose mirrors have asymptotic infinite accelerations: lim α(v) = ∞, v→v H (1)where v = t + x is the advanced time light-cone coordinate, v H is the horizon and α is the proper acceleration of the moving mirror
All that is required is that the mirror be asymptotic inertial, which leaves open the strange possibility in the sum rule of Equation (25) for a light-like horizon to emit negative energy flux (NEF)
We studied the radiation from a perfect mirror with a particular trajectory coupling information loss and negative energy flux
Summary
Recent studies have utilized the simplicity of the established moving mirror model [1,2,3,4,5,6]. ABC’s exist for extremal black holes, including extremal RN [17,18], extremal Kerr [9,19], and extremal Kerr–Newman [20] geometries, whose mirrors have asymptotic uniform accelerations: lim α(v) = constant. These extremal mirrors have horizons and do not emit NEF. Universe 2020, 6, 131 question by analytically solving for the quantum stress tensor, beta Bogolubov particle spectrum, and total finite emission of energy for just such a trajectory by the use of an asymptotic inertial horizon-forming moving mirror.
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