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Scalar Cosmology with Multi-exponential Potentials

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abstract

We investigate cosmologies with an arbitrary number of scalars and the most general multi-exponential potential. By formulating the equations of motion in terms of autonomous systems we complete the classification of power-law and de Sitter solutions as critical points, e.g. attractor and repeller solutions, in terms of the scalar couplings. Many of these solutions have been overlooked in the literature. We provide specific examples for double and triple exponential potentials with one and two scalars, where we find numerical solutions, which interpolate between the critical points. Some of these correspond to the reduction of new exotic S-brane solutions.

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hep-th 1

years

2025 1

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CONDITIONAL 1

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Universal Cosmologies

hep-th · 2025-05-06 · conditional · novelty 5.0

For open FLRW universes in two-scalar exponential-potential models from 10d IIA supergravity, the late-time attractor sets the effective exponent to the shortest vector to the convex hull of potential exponents, giving small g_s and alpha' corrections and scale separation in most models.

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  • Universal Cosmologies hep-th · 2025-05-06 · conditional · none · ref 68 · internal anchor

    For open FLRW universes in two-scalar exponential-potential models from 10d IIA supergravity, the late-time attractor sets the effective exponent to the shortest vector to the convex hull of potential exponents, giving small g_s and alpha' corrections and scale separation in most models.