Tachyon with an inverse power-law potential in a braneworld cosmology

Abstract

We study a tachyon cosmological model based on the dynamics of a 3-brane in the bulk of the second Randall-Sundrum model extended to more general warp functions. A well known prototype of such a generalization is the bulk with a selfinteracting scalar field. As a consequence of a generalized bulk geometry the cosmology on the observer brane is modified by the scale dependent four-dimensional gravitational constant. In particular we study a power law warp factor which generates an inverse power-law potential $V\propto {\phi }^{-n}$ of the tachyon field $\phi$. We find a critical power $n_{\mathrm{cr}}$ that divides two subclasses with distinct asymptotic behaviors: a dust universe for $n>n_{\mathrm{cr}}$ and a quasi de Sitter universe for $0<n<n_{\mathrm{cr}}$.

21 pages, revised to match the version accepted in CQG, a few clarifications added, references added, typos corrected, results unchanged

References in corpus (9)

• Planck 2015 results. XIII. Cosmological parameters
• Observational constraints on patch inflation in noncommutative spacetime
• COSMOS-$e^{\prime }$-GTachyon from String Theory
• Randall-Sundrum versus holographic cosmology
• Manifest Covariant Hamiltonian Theory of General Relativity
• Brane Cosmology with a Non-Minimally Coupled Bulk-Scalar Field
• Spherically Symmetric Thick Branes Cosmological Evolution
• Tachyon inflation in an AdS braneworld with back-reaction
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• A de Sitter tachyonic braneworld revisited
• Particle creation and reheating in a braneworld inflationary scenario
• Holographic cosmology and tachyon inflation
• Primordial perturbations and inflation in holographic cosmology
• Bianchi IX geometry and the Einstein-Maxwell theory
• Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane
• A scaling invariance of the perturbations in $k$-inflation models
• Tachyon constant-roll inflation in Randall-Sundrum II cosmology
• Flat and bent branes in Born-Infeld-like scalar field models
• Primordial black hole formation in k-inflation models