Indefinite oscillators and black-hole evaporation
2009
Citations per year
Abstract: (Wiley)
We discuss the dynamics of two harmonic oscillators of which one has a negative kinetic term. This model mimics the Hamiltonian in quantum geometrodynamics, which possesses an indefinite kinetic term. We solve for the time evolution in both the unc oupled and coupled case. We use this setting as a toy model for studying some possible aspects of the final stage of black-hole evaporation. We assume that one oscillator mimics the black hole, while the other mimics Hawking radiation. In the uncoupled ca se, the negative term leads to a squeezing of the quantum state, while in the coupled case, which includes back reaction, we get a strong entangled state between the mimicked black hole and the radiation. We discuss the meaning of this state. We end by an alyzing the limits of this model and its relation to more fundamental approaches.- 04.60.-m
- 04.70.Dy
- 04.60.Ds
- Black holes
- Hawking radiation
- canonical quantum gravity
- black hole: evaporation
- radiation: Hawking
- oscillator: harmonic
- quantum gravity: canonical
References(21)
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