Formation of caustics in Dirac-Born-Infeld type scalar field systems

Abstract

We investigate the formation of caustics in Dirac-Born-Infeld type scalar field systems for generic classes of potentials, viz., massive rolling scalar with potential, $V(\varphi )=V_0{e}^{\pm \frac{1}{2}{M}^2{\varphi }^2}$ and inverse power-law potentials with $V(\varphi )=V_0/{\varphi }^n,0<n<2$. We find that in the case of\texttt{} exponentially decreasing rolling massive scalar field potential, there are multi-valued regions and regions of likely to be caustics in the field configuration. However there are no caustics in the case of exponentially increasing potential. We show that the formation of caustics is inevitable for the inverse power-law potentials under consideration in Minkowski space time whereas caustics do not form in this case in the FRW universe.

16 pages, 14 figures, major revision, conclusions strengthen, to appear in PRD

References in corpus (11)

• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• Approaches to Understanding Cosmic Acceleration
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Holographic tachyon model of dark energy
• Cosmological Scaling Solutions of Multiple Tachyon Fields with Inverse Square Potentials
• Tachyon cosmology, supernovae data and the Big Brake singularity
• Cosmological Signature of Tachyon Condensation
• Hubble red shift and the anomalous acceleration of Pioneer 10 and 11
• Deformation of the Planetary Orbits Caused by the Time Dependent Gravitational Potential in the Universe
• Role of Tachyonic Field in Accelerating Universe in Presence of Perfect Fluid