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Scalar Field Cosmological Models With Hard Potential Walls

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arxiv gr-qc/9806113 v1 pith:5RNQ3P3Z submitted 1998-06-29 gr-qc

S. Foster This is my paper · ORCID
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keywords potentialbehaviorfieldscalarwallscosmologicalhardmodels
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The global behavior of scalar field cosmological models with very hard potential walls is investigated via the simple example of an exponentially steep potential well. It is found that the solutions exhibit a non-trivial oscillatory behavior in the approach to an initial space-time singularity. This behavior can be interpreted as being due to the inability of the scalar field to negotiate the walls of the steep potential well.

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  1. Improved Holographic QCD on a Curved Background: an Application of Dynamical System Theory in Holography

    hep-th 2025-05 conditional novelty 7.0 of 10

    For the critical exponent b=b_c, IHQCD (alpha=1/2) admits only regular endpoint-type solutions at positive curvature and singular acceptable solutions at negative curvature, so the curvature-driven transition occurs at R=0.

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