Hamilton-Jacobi Approach to Pre-Big Bang Cosmology at Long-wavelengths

Abstract

We apply the long-wavelength approximation to the low energy effective string action in the context of Hamilton-Jacobi theory. The Hamilton-Jacobi equation for the effective string action is explicitly invariant under scale factor duality. We present the leading order, general solution of the Hamilton-Jacobi equation. The Hamilton-Jacobi approach yields a solution consistent with the Lagrange formalism. The momentum constraints take an elegant, simple form. Furthermore this general solution reduces to the quasi-isotropic one, if the evolution of the gravitational field is neglected. Duality transformation for the general solution is written as a coordinate transformation in an abstract field space.

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References in corpus (2)

• Duality and Dilaton
• Inhomogeneous Pre-Big Bang String Cosmology

Cited by in corpus (3)

• Nonlinear Evolutions and Non-Gaussianity in Generalized Gravity
• Static Einstein's Universe as a Quantum Solution of Causal Quantum Gravity
• Hamilton-Jacobi approach to pre-big bang cosmology and the problem of initial conditions