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The catastrophe theory, Petrov’s algebraic classification and gravitational phase transitions. (English) Zbl 1232.83076
Summary: A close relationship is demonstrated between the catastrophe theory, Petrov’s algebraic classification of the gravitational fields and the theory of phase transitions.
83E05 Geometrodynamics and the holographic principle
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
58K35 Catastrophe theory
Full Text: DOI arXiv
[1] A. Z. Petrov, New Methods in General Relativity (Nauka, Moscow, 1966, in Russian).
[2] A. Z. Petrov, Einstein Spaces (Pergamon Press, 1969).
[3] T. Poston and I. Stewart, Catastrophe Theory and Its Applications (Pitman, 1978). · Zbl 0382.58006
[4] A. M. Baranov, Dep. VINITI USSR, No. 2632-76 (1976) (in Russian).
[5] A. M. Baranov, Abstr. of the Conference ”200 Years of Kazan University” (in Russian), p. 107 (2004).
[6] A. M. Baranov, Grav. Cosmol. 12, 100 (2006).
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[8] A. M. Baranov, Transactions of the Russian School-Seminar GRACOS-2010 (in Russian), p. 132 (2010).
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