Hawking radiation and the Virasoro algebra

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Energy Spectra, Gravitational Fields, Particle Production, Astronomical Models, Boundary Value Problems, Dirichlet Problem, Two Dimensional Models, Wave Equations

Scientific paper

The Hawking radiation in two-dimensional moving mirror models of black-hole formation is shown to be a direct consequence of the central charge in the Virasoro algebra. Hence mirror trajectories related by the action of an anomaly-free SL(2, R) subgroup lead to the same energy-momentum tensor expectation value. The same invariance is found in the energy spectrum of the created particles. The relation to the Frolov-Filkovisky effective action approach is discussed.

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