Analysis of scalar perturbations in cosmological models with a non-local scalar field
arXiv:1009.0746 · doi:10.1088/0264-9381/28/8/085019
Abstract
We develop the cosmological perturbations formalism in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the non-local scalar field in the presence of the arbitrary potential and formulate the local system of equations for perturbations in the linearized model when both simple and double roots of the characteristic equation are present. We carry out the general analysis related to the curvature and entropy perturbations and consider the most specific example of perturbations when important quantities in the model become complex.
LaTeX, 25 pages, 1 figure, v2: Subsection 3.2 and Section 5 added, references added, accepted for publication in Class. Quant. Grav. arXiv admin note: text overlap with arXiv:0903.5176
References in corpus (34)
- Dynamics of dark energy
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
- Effective Field Theory for Inflation
- String Cosmology: A Review
- Modified non-local-F(R) gravity as the key for the inflation and dark energy
- Accelerating cosmologies from non-local higher-derivative gravity
- Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
- Localization of nonlocal theories
- Dynamics with Infinitely Many Derivatives: The Initial Value Problem
- Route to nonlocal cosmology
- Reconstructing the Distortion Function for Nonlocal Cosmology
- Newtonian limit of nonlocal cosmology
- Gauge-invariant analysis of perturbations in Chaplygin gas unified models of dark matter and dark energy
- Bouncing and Accelerating Solutions in Nonlocal Stringy Models
- Nonlocal gravity and the diffusion equation
- Large Nongaussianity from Nonlocal Inflation
- Multifield DBI Inflation and Non-Gaussianities
- Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
- Diffusing non-local inflation: Solving the field equations as an initial value problem
- Predictions for Nongaussianity from Nonlocal Inflation
- On the Null Energy Condition and Cosmology
- Stretching the Inflaton Potential with Kinetic Energy
- Quantization of the Riemann Zeta-Function and Cosmology
- Tachyon solutions in boundary and cubic string field theory
- Nonlocal instantons and solitons in string models
- Dynamics with Infinitely Many Derivatives: Variable Coefficient Equations
- Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric
- Stable Exact Solutions in Cosmological Models with Two Scalar Fields
- Cosmological Signature of Tachyon Condensation
- Stringy Model of Cosmological Dark Energy
- Null Energy Condition Violation and Classical Stability in the Bianchi I Metric
- Dynamics and Stability of Light-Like Tachyon Condensation
- Multi-scalar field cosmology from SFT: an exactly solvable approximation
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- Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
- Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
- De Sitter Universe in Nonlocal Gravity
- Cosmological dynamics and dark energy from non-local infrared modifications of gravity
- Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
- Reconstruction Procedure in Nonlocal Cosmological Models
- Cosmological Solutions of a Nonlocal Model with a Perfect Fluid
- Finite quantum gravity in dS and AdS spacetimes
- Cosmological Daemon
- Non-local self-healing of Higgs inflation
- Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant
- Generalized non-local -like inflation
- Effective models of inflation from a non-local framework
- On Modified Gravity
- On Nonlocal Modified Gravity and its Cosmological Solutions
- Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology
- On Nonlocal Modified Gravity and Cosmology
- Nonlocal de Sitter gravity and its exact cosmological solutions
- Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios
- Perturbative stability of SFT-based cosmological models
- Cosmology in nonlocal gravity
- Towards p-Adic Matter in the Universe