Time Lumps in Nonlocal Stringy Models and Cosmological Applications

Abstract

We study lump solutions in nonlocal toy models and their cosmological applications. These models are motivated by a description of D-brane decay within string field theory framework. In order to find cosmological solutions we use the simplest local approximation keeping only second derivative terms in nonlocal dynamics. We study a validity of this approximation in flat background where time lump solutions can be written explicitly. We work out the validity of this approximation. We show that our models at large time exhibit the phantom behaviour similar to the case of the string kink.

Latex, 24 pages, 13 figures, Typos corrected, references added

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• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
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• Stringy Dark Energy Model with Cold Dark Matter
• Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric
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• Cosmological perturbations in SFT inspired non-local scalar field models
• Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon
• Kinks of open superstring field theory
• Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
• Analysis of scalar perturbations in cosmological models with a non-local scalar field
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• de Sitter Swampland Conjecture in String Field Inflation
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• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
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• A Covariant Curvature-History Field Formulation for State-Dependent Infinite-Derivative Gravity