Cosmological Dynamics of a Dirac-Born-Infeld field

Abstract

We analyze the dynamics of a Dirac-Born-Infeld (DBI) field in a cosmological set-up which includes a perfect fluid. Introducing convenient dynamical variables, we show the evolution equations form an autonomous system when the potential and the brane tension of the DBI field are arbitrary power-law or exponential functions of the DBI field. In particular we find scaling solutions can exist when powers of the field in the potential and warp-factor satisfy specific relations. A new class of fixed-point solutions are obtained corresponding to points which initially appear singular in the evolution equations, but on closer inspection are actually well defined. In all cases, we perform a phase-space analysis and obtain the late-time attractor structure of the system. Of particular note when considering cosmological perturbations in DBI inflation is a fixed-point solution where the Lorentz factor is a finite large constant and the equation of state parameter of the DBI field is $w=-1$. Since in this case the speed of sound $c_s$ becomes constant, the solution can be thought to serve as a good background to perturb about.

24 pages, 7 figures, minor corrections, references added

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• DBI Galileon inflation in background SUGRA
• Dark D-brane Cosmology
• Priomordial non-Gaussian features from DBI Galileon inflation
• Hyperbolic field space and swampland conjecture for DBI scalar
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• Multi-brid DBI Inflation
• Cosmological signatures of brane inflation
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory
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