Reconstruction of Scalar Potentials in Induced Gravity and Cosmology

Abstract

We develop a technique for the reconstruction of the potential for a scalar field in cosmological models based on induced gravity. The potentials reproducing cosmological evolutions driven by barotropic perfect fluids, a cosmological constant, a Chaplygin gas and a modified Chaplygin gas are constructed explicitly.

14 pages, no figures. Final version published in PLB

References in corpus (7)

• Dynamics of dark energy
• Reconstructing Dark Energy
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Reconstruction of scalar potentials in two-field cosmological models
• Induced Gravity and the Attractor Dynamics of Dark Energy/Dark Matter
• Phantom scalar fields result in inflation rather than Big Rip

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• Reconstruction Procedure in Nonlocal Cosmological Models
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Interdependence between integrable cosmological models with minimal and non-minimal coupling
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Dynamical Dark Energy and Spontaneously Generated Gravity
• Primordial cosmic fluctuations for variable gravity
• Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust
• Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant
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• Brans-Dicke inflation in light of the Planck 2015 data
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• The Hawking temperature in the context of dark energy for Kerr-Newman and Kerr-Newman-AdS backgrounds
• Thermodynamics for the k-essence Emergent Reissner-Nordstrom-de Sitter Spacetime
• Conflation: a new type of accelerated expansion
• Forecasting cosmological parameter constraints from near-future space-based galaxy surveys
• Scalar field potentials for closed and open cosmological models
• Classical and quantum Big Brake cosmology for scalar field and tachyonic models
• Dynamics of Potentials in Bianchi Type Scalar-Tensor Cosmology
• Singularity crossing, transformation of matter properties and the problem of parametrization in field theories
• Induced gravity models with exact bounce solutions
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