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

Source: [Hamilton-Jacobi Approach to Pre-Big Bang Cosmology at Long-wavelengths](<https://www.sota2.com/research/paper/68fa24782c2a3760193a4994>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:13:03.886Z

Authors: K. Saygili

Published: 1997-10-08T11:07:39.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9710070>)

[PDF](<https://arxiv.org/pdf/hep-th/9710070.pdf>)