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Radiation from moving mirrors and from black holes
Abstract
We extend our previous work on scalar quantum particle production by moving mirrors in two-dimensional flat space-time to models with asymptotically null trajectories. This proves to have considerable heuristic value in understanding the mechanism of quantum particle emission from black holes. We demonstrate that Hawking’s derivation of that phenomenon using ray-tracing is mathematically identical to the geometrical optics associated with a certain class of mirror trajectory. Investigation of the simpler system clarifies the relation between particles and energy in quantum field theory. A mirror trajectory is presented by which a flux of particles is created, but no energy at all is radiated. We also show that the stimulated emission that occurs when a single particle is incident on the mirror simply corresponds to the classical reflexion of the associated wave, and that the total energy may decrease in this process.
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The horizon entropy depends on the gravitational Lagrangian, and for general relativity takes the Bekenstein-Hawking form proportional to area over four h G.
“S H depends on the gravitational Lagrangian [30], and for general relativity takes the form”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [30]
Citations
Cites
Breakdown of predictability in gravitational collapse
Hawking, S. W. (1976) · Physical Review D · doi:10.1103/physrevd.14.2460 · Cited by 2,554
Energy-momentum tensor near an evaporating black hole
Davies, P. C. W., Fulling, S. A., & Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.13.2720 · Cited by 389
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Research works printed but not linked: 16
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- Christensen S. M. & Fulling S. A. 1976 Trace anom alies and th e H aw king effect. P hys. R ev. D (in th e press).
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The back reaction effect in particle creation in curved spacetime
Wald, R. M. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01609833 · Cited by 317
Averaged energy conditions and quantum inequalities
Ford, L. H., & Roman, T. A. (1995) · Physical Review D · doi:10.1103/physrevd.51.4277 · Cited by 284
The generalized second law implies a quantum singularity theorem
Wall, A. C. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/16/165003 · Cited by 106
Analog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
Gerace, D., & Carusotto, I. (2012) · Physical Review B · doi:10.1103/physrevb.86.144505 · Cited by 88
Singularity theorems from weakened energy conditions
Fewster, C. J., & Galloway, G. J. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/12/125009 · Cited by 56
Metadata
- Authors
- Davies, P. C. W., & Fulling, S. A.
- Affiliations
- Department of Mathematics, King's College London, Strand, WC2R 2LS
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1977-08-24
- Volume
- 356
- Issue
- 1685
- Pages
- 237-257
- ISSN
- 0080-4630
- 2053-9169
- Cited by
- 298
- References
- 2
- Language
- en
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