Download Artificial Black Holes by Grigori Volovik PDF

By Grigori Volovik

Physicists are thinking about at the danger of simulating black holes within the laboratory via quite a few ''analog models''. those analog types, in general in keeping with condensed subject physics, can be utilized to aid us comprehend common relativity (Einstein’s gravity); conversely, summary recommendations constructed ordinarily relativity can occasionally be used to assist us comprehend sure elements of condensed subject physics. This publication includes thirteen chapters — written via specialists mostly relativity, particle physics, and condensed topic physics — that discover a number of elements of this two-way site visitors.

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Rev. Lett. 84 (2000) 822 [cond-mat/9906332]. [19] G. E. Volovik, "Superfluid analogies of cosmological phenomena", grqc/0005091. [20] S. W. ", Nature 248 (1974) 30-31. [21] S. W. Hawking, "Particle creation by black holes", Commun. Math. Phys. 43 (1975) 199-220. Matt Visser 33 [22] M. Visser, "Acoustic propagation in fluids: horizons, ergospheres, and Hawking radiation", Class. Quantum Grav. 15 (1998) 1767-1791; [grqc/9712010]. [23] M. Visser, "Hawking radiation without black hole entropy", Phys.

The acoustic metric is a good example of this. In general relativity the two approaches are mathematically and physically identical, being related by a singular coordinate transformation. In analogue models, because you typically have more physical structure available (like a physical background metric for instance), there are often good reasons for picking one approach in preference to the other. Almost always you are better off working with the mental picture of a moving medium (as in the acoustic metric or its quasiparticle and "slow light" generalizations).

1: Ring-like configuration for an acoustic black hole: The tight ringshaped configuration, with both black and white horizons, and no singularity T -— (U/mR2)i. 2 dz dr r | / ( 2 , r ) | 4 (2,8) and Vext(0) is the dimensionless effective potential (in which we have already included the chemical potential) that results from the dimensional reduction. The stationary solution can then be written as

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