Quantum-induced trans-Planckian energy near horizon

Abstract

We study the loop effects on the geometry and boundary conditions of several black hole spacetimes one of which is time-dependent and analyze the energy measured by an infalling observer near their horizons. The finding in the previous works that the loop effects can be drastic is reinforced: they play an important role in the boundary conditions and non-perturbative geometry deformation. One of the channels through which the quantum gravitational effects enter is generation of the cosmological constant. The cosmological constant feeds the time-dependence of a solution. We obtain a trans-Planckian energy in the time-dependent case. The importance of time-dependence for the trans-Planckian energy and black hole information is discussed.

35 pages, refs added, comments added, version to appear in JHEP

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• On Firewalls in quantum-corrected General Relativity
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• Quantization of gravity and finite temperature effects
• Quantum-gravitational trans-Planckian energy of a time-dependent black hole
• Scattering on Quasi-Spherical Black-Holes: Features and Beyond
• Cosmological constant as a finite temperature effect
• A Model of the Collapse and Evaporation of Charged Black Holes