Quantum-induced trans-Planckian energy near horizon

TL;DR

This paper investigates how quantum loop effects influence black hole geometries, boundary conditions, and generate trans-Planckian energies near horizons, especially in time-dependent scenarios, impacting black hole information and quantum gravity understanding.

Contribution

It demonstrates the significant role of quantum loop effects in boundary conditions and geometry deformation, and links quantum gravitational effects to trans-Planckian energies in time-dependent black hole spacetimes.

Findings

Loop effects drastically alter boundary conditions.

Quantum effects generate a cosmological constant affecting solutions.

Trans-Planckian energy appears in time-dependent black hole cases.

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.