Rigidity of cosmic acceleration in a class of k-essence cosmologies

Abstract

We study the structural stability of a cosmic acceleration (inflation) in a class of k-essence cosmologies against changes in the shape of the potential. Those models may be viewed as generalized tachyon cosmologies and this analysis extends previous results on the structural stability of cosmic acceleration in tachyon cosmologies. The study considers both phantom and non-phantom cases. The concepts of rigidity and fragility are defined through a condition on the functional form of the Hubble factor. Given the known result of the existence of inflationary (non-phantom) and super-inflationary (phantom) attractors we formulate the question of their structural stability. We find that those attractors are rigid in the sense that they never change as long as the conditions for inflation or super-inflation are met.

10 pages

References in corpus (4)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• K-Essential Phantom Energy: Doomsday around the corner?
• Effective equation of state and energy conditions in phantom/tachyon inflationary cosmology perturbed by quantum effects
• A note on the structural stability of tachyonic inflation

Cited by in corpus (15)

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• Dark Energy in Practice
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• Quintessence as k-essence
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Combined cosmological tests of a bivalent tachyonic dark energy scalar field model
• Cosmological zoo -- accelerating models with dark energy
• Logarithm of the scale factor as a generalised coordinate in a lagrangian for dark matter and dark energy
• Cosmological constraints on superconducting dark energy models
• Thawing k-essence dark energy in the PAge space
• On A Cosmological Invariant as an Observational Probe in the Early Universe
• Criticality and Big Brake singularities in the tachyonic evolutions of closed Friedmann universes with cold dark matter