Quintessence and phantom emerging from the split-complex field and the split-quaternion field
arXiv:1501.03220 · doi:10.1007/s10714-015-2006-1
Abstract
Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the split-quaternion scalar field. Then we explore the cosmic evolution of these scalar fields in the background of spatially flat Friedmann-Robertson-Walker Universe. We find that both the quintessence field and the phantom field could naturally emerge in these scalar fields. Introducing the metric of field space, these theories fall into a subclass of the multi-field theories which have been extensively studied in inflationary cosmology.
14 pages, 14 figures
References in corpus (17)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Cosmology and the Fate of Dilatation Symmetry
- Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
- Cosmological Evolution of a Quintom Model of Dark Energy
- A New Model of Agegraphic Dark Energy
- Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
- Perturbations in generalized multi-field inflation
- Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
- Reconstructing holographic quintessence
- Agegraphic dark energy as a quintessence
- Holographic tachyon model
- Spinflation
- Holographic dark energy in a cyclic universe
- Multifield DBI Inflation and Non-Gaussianities
- Pseudo-complex General Relativity
- Possible theoretical limits on holographic quintessence from weak gravity conjecture
- Pseudo-Complex Field Theory