Covariant description of the inhomogeneous mixmaster chaos

R. Benini, G. Montani

Research output: Contribution to conferencePaper

Abstract

We outline the covariant nature of the chaos characterizing the generic cosmological solution near the initial singularity. Our analysis is based on a "gauge" independent ADM-reduction of the dynamics to the physical degrees of freedom, and shows that the dynamics is isomorphic point by point in space to a billiard on a Lobachevsky plane. The Jacobi metric associated to the geodesic flow is constructed and a non-zero Lyapunov exponent is explicitly calculated. The chaos covariance emerges from the independence of the form of the lapse function and the shift vector. © 2008 World Scientific Publishing Co. Pte. Ltd.
Original languageEnglish
Publication statusPublished - 2008
Externally publishedYes
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - , Germany
Duration: 1 Jan 2008 → …

Conference

Conference11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
CountryGermany
Period1/1/08 → …

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Benini, R., & Montani, G. (2008). Covariant description of the inhomogeneous mixmaster chaos. Paper presented at 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006, Germany.