Exact integrability of strings in D-dimensional de Sitter spacetime

Details Exact integrability of strings in D-dimensional de Sitter spacetime Exact integrability of strings in D-dimensional de Sitter spacetime

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.3394d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 8, 15 April 1993, pp.3394-3404

Physics

75

Nonlinear Or Nonlocal Theories And Models

Scientific paper

We show the complete integrability of the string propagation in D-dimensional de Sitter spacetime. We find that the string equations of motion, which correspond to a noncompact O(D,1)-symmetric σ model, plus the string constraints, are equivalent to a generalized sinh-Gordon equation. In D=2 this is the Liouville equation, in D=3 this is the standard sinh-Gordon equation, and in D=4 this equation is related to the B2 Toda model. We show that the presence of instability is a general exact feature of strings in de Sitter space, as a direct consequence of the strong instability of the generalized sinh-Gordon Hamiltonian (which is unbounded from below), irrespective of any approximative scheme. We exhibit Bäcklund transformations for this generalized sinh-Gordon equation, which relate expanding and shrinking string solutions. We find all classical solutions in D=2 and physically analyze them. In D=3 and D=4, we find the asymptotic behaviors of the solutions in the instability regime. The exact solutions exhibit asymptotically all the characteristic features of string instability: namely, the logarithmic dependence of the cosmic time u on the world sheet time τ for u-->+/-∞, the stretching (or the shrinking) of the proper string size, and the proportionality between τ and the conformal time.

Affiliated with

Also associated with

No associations

Rating

Exact integrability of strings in D-dimensional de Sitter spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact integrability of strings in D-dimensional de Sitter spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact integrability of strings in D-dimensional de Sitter spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1374824