Cosmological model with Born-Infeld type scalar field
arXiv:gr-qc/0607105 · doi:10.1142/S0219887807001989
Abstract
The non-abelian generalization of the Born-Infeld non-linear lagrangian is extended to the non-commutative geometry of matrices on a manifold. In this case not only the usual SU(n) gauge fields appear, but also a natural generalization of the multiplet of scalar Higgs fields, with the double-well potential as a first approximation. The matrix realization of non-commutative geometry provides a natural framework in which the notion of a determinant can be easily generalized and used as the lowest-order term in a gravitational lagrangian of a new kind. As a result, we obtain a Born-Infeld-like lagrangian as a root of sufficiently high order of a combination of metric, gauge potentials and the scalar field interactions. We then analyze the behavior of cosmological models based on this lagrangian. It leads to primordial inflation with varying speed, with possibility of early deceleration ruled by the relative strength of the Higgs field.
arXiv comment27 pages
References in corpus (15)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- The Cosmological Constant and Dark Energy
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
- On non-abelian generalisation of Born-Infeld action in string theory
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
- Generalized Chaplygin gas and CMBR constraints
- Born-Infeld Quantum Condensate as Dark Energy in the Universe
- Modeling Quintessential Inflation
- Non-Abelian Born--Infeld cosmology
- A Study of a Non-Abelian Generalization of the Born-Infeld Action
- Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
- Born-Infeld inspired bosonic action in a noncommutative geometry
- Cosmological dynamics of D-cceleration