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References
R. Courant and D. Hilbert, Methods of Mathematical Physics, vol II, (Wiley, 1991).
M. Novello, M. Visser and G. Volovik (eds.), Artificial Black Holes, (World Scientific, Singapore, 2002).
C. Barcel ó , S. Liberati and M. Visser, Analogue Gravity, Living Rev. Relativity 8, (2005), 12. URL (cited on 15-05-06): http://www.livingreviews.org/lrr-2005-12 [arXiv:gr-qc/0505065].
G. E. Volovik, The Universe in a Helium Droplet, (Oxford University Press, 2003).
C. Barcelo, S. Liberati and M. Visser, Refringence, field theory, and normal modes, Class. Quant. Grav. 19, 2961 (2002) [arXiv:gr-qc/0111059].
M. Visser, Acoustic black holes: horizons, ergospheres, and Hawking radiation,” Class. Quant. Grav. 15, 1767 (1998) [arXiv:gr-qc/9712010].
F. Dalfovo, S. Giorgini, L. Pitaevskii and S. Stringari, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999) [arXiv:cond-mat/9806038].
L. J. Garay, J. R. Anglin, J. I. Cirac and P. Zoller, Black holes in Bose-Einstein condensates, Phys. Rev. Lett. 85, 4643 (1999) [arXiv:gr-qc/0002015].
L. J. Garay, J. R. Anglin, J. I. Cirac and P. Zoller, “Sonic black holes in dilute Bose-Einstein condensates,” Phys. Rev. A 63, 023611 (2001) [arXiv:gr-qc/0005131].
C. Barcel ó , S. Liberati and M. Visser, Analog gravity from Bose-Einstein condensates, Class. Quant. Grav. 18, 1137 (2001) [arXiv:gr-qc/0011026].
T. Jacobson, S. Liberati and D. Mattingly, Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints, Ann. Phys. 321, 150 (2006) [arXiv:astro-ph/0505267].
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Barceló, C. (2007). Lorentzian Space-Times from Parabolic and Elliptic Systems of PDEs. In: Petkov, V. (eds) Relativity and the Dimensionality of the World. Fundamental Theories of Physics, vol 153. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6318-3_14
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DOI: https://doi.org/10.1007/978-1-4020-6318-3_14
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