Scalar field potentials for closed and open cosmological models

Abstract

We develop a technique for the reconstruction of the potential for a scalar field or a tachyon field, reproducing a given cosmological evolution in a closed and open isotropic cosmological models. Such potentials are explicitly written down for the cases of the evolutions driven by a generic barotropic fluid and by radiation plus a cosmological constant, for the case of a scalar field. For tachyon and pseudo-tachyon fields the potentials are reconstructed for some special cases, corresponding to particular values of the barotropic index.

final version, to appear in General Relativity and Gravitation, the title is changed

References in corpus (5)

• Dynamics of dark energy
• Reconstructing Dark Energy
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Reconstruction of Scalar Potentials in Induced Gravity and Cosmology
• Reconstruction of scalar potentials in two-field cosmological models

Cited by in corpus (6)

• Integrable cosmological models with non-minimally coupled scalar fields
• Quantum cosmology and late-time singularities
• Effective field description of the Anton-Schmidt cosmic fluid
• Reconstruction Procedure in Nonlocal Cosmological Models
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Dynamics of Potentials in Bianchi Type Scalar-Tensor Cosmology