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

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

1997-10-08

arxiv.org/abs/hep-th/9710070v2

Int.J.Mod.Phys. A14 (1999) 225-240

Physics

High Energy Physics

High Energy Physics - Theory

TeX file, minor changes

Scientific paper

10.1142/S0217751X99000117

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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