A dynamical model of an evaporating charged black hole and quantum instability of Cauchy horizons

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Black Holes (Astronomy), Cauchy Problem, Evaporation, Quantum Mechanics, Space-Time Functions, Charged Particles, Dynamic Models, Scalars, Stress Tensors, Two Dimensional Models, Vacuum

Scientific paper

The Hawking effect is investigated on a classical model spacetime (the Vaidya-Bonnor linear spacetime), which represents a dynamically evaporating charged black hole. Under the two-dimensional approximation, the expectation value is calculated of the stress-energy tensor of a massless scalar field with respect to the generalized Unruh vacuum. The obtained vacuum expectation value diverges on the Cauchy and anti-Cauchy horizons of the model spacetime. This suggests that these horizons are quantum theoretically unstable.

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