Black Hole Field Theory with a Firewall in two spacetime dimensions

Abstract

We propose that the vacuum state of a scalar field around a black hole is a modified Unruh vacuum. In (1+1) dimensions, we show that a free-faller close to such an horizon can be modelled as an inertial observer in a modified Minkowski vacuum. The modification allows for information-leaking correlations at high frequencies. Using a Gaussian detector centred at $k_0$, we find that the expectation value of the number operator for a detector crossing the horizon is proportional to $1/|k_0|$, implying that the free-faller will observe unbounded numbers of high energy photons, i.e. a firewall.

6 pages, 3 figures

References in corpus (4)

• Quantum information cannot be completely hidden in correlations: implications for the black-hole information paradox
• Onset and decay of the 1+1 Hawking-Unruh effect: what the derivative-coupling detector saw
• Unruh-DeWitt detector response across a Rindler firewall is finite
• (1+1)D Calculation provides evidence that quantum entanglement survives a firewall

Cited by in corpus (1)

• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity