A note on the structural stability of tachyonic inflation

TL;DR

This paper investigates the robustness of tachyonic inflation models, showing that their attractor solutions remain stable under potential shape variations as long as inflation conditions are satisfied.

Contribution

It introduces a framework for analyzing the structural stability of tachyonic inflation, demonstrating the models' rigidity against potential modifications.

Findings

Models are rigid; attractor solutions are unaffected by potential shape changes.

Structural stability holds as long as inflation conditions are maintained.

Provides a formal criterion for rigidity in tachyonic inflation models.

Abstract

We study the structural stability of tachyonic inflation against changes in the shape of the potential. Following Lidsey (Gen. Rel. Grav. 25 (1993) 399), the concepts of rigidity and fragility are defined through a condition on the functional form of the Hubble factor. We find that the models are rigid in the sense that the attractor solutions never change as long as the conditions for inflation are met.