Homoclinic Chaos in Relativistic Cosmology

作者: Esteban Calzetta

DOI: 10.1007/978-1-4757-9993-4_12

关键词: Lyapunov exponentPhysicsClassical mechanicsGeneral relativityCosmological modelTheoretical physicsHamiltonian (quantum mechanics)Homoclinic orbitCosmologyQuantum cosmology

摘要: We give a short review of Homoclinic Chaos, drawing instances it from General Relativity, and putting emphasis on the application Melnikov’s method for detection this kind behavior. describe in some detail two concrete manifestations Chaos relativistic Cosmology, one where Universe may be described as Hamiltonian dynamical system, other is not possible, due to presence viscous matter. The overall implications Cosmology Relativity are discussed.

参考文章(88)
I.P. Cornfeld, Ergodic theory / I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai 1. KALKULUS INTEGRAL,Ergodic theory / I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai. ,vol. 1982, pp. 1- 99 ,(1982)
Stephen Wiggins, Global Bifurcations and Chaos Applied Mathematical Sciences. ,(1988) , 10.1007/978-1-4612-1042-9
H. J. de Vega, N. Sánchez, Field Theory, Quantum Gravity, and Strings ,(1986)
Bai-Lin Hao, Directions in chaos World Scientific. ,(1987)
Jack K. Hale, Infinite dimensional dynamical systems LNM. ,vol. 1007, pp. 379- 400 ,(1981) , 10.1007/BFB0061425
R. Brandenberger, H. Feldman, V. Mukhanov, T. Prokopec, Gauge invariant cosmological perturbations: theory and application NATO Advanced Science Institutes (ASI) Series C. ,vol. 393, pp. 13- 32 ,(1993) , 10.1007/978-94-011-1705-0_2
Paul C. Shields, The theory of Bernoulli shifts University of Chicago Press. ,(1973)
Alexander Vilenkin, Birth of inflationary universes Physical Review D. ,vol. 27, pp. 2848- 2855 ,(1983) , 10.1103/PHYSREVD.27.2848
A. A. Starobinsky, STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE Lecture Notes in Physics. ,vol. 246, pp. 107- 126 ,(1986) , 10.1007/3-540-16452-9_6