The catastrophe theory, Petrov's algebraic classification and gravitational phase transitions

A.M. Baranov1

Abstract

A close relationship is demonstrated between the catastrophe theory, Petrov's algebraic classification of the gravitational fields and the theory of phase transitions.

References

  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).
  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", 2004, p.107 (in Russian).
  6. A. M. Baranov, Grav. Cosmol. 12, 100 (2006).
  7. A. M. Baranov, Zh. SibFU. Mat. Fiz. 4 (1), 3-10 (2011).
  8. A. M. Baranov, Transactions of the Russian School-Seminar GRACOS-2010, p. 132 (2010) (in Russian).
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