Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
arXiv:0907.0468 · doi:10.1088/0264-9381/27/3/035006
Abstract
Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots. The formulae for nonlocal energy-momentum tensor, which correspond to double roots, have been obtained. The way to find particular solutions for nonlocal Einstein equations in the case when F(\Box_g) has both simple and double roots has been proposed. One and the same functions solve the initial nonlocal Einstein equations and the obtained local Einstein equations.
20 pages, v4:a few misprints have been corrected
References in corpus (58)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- 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
- Report of the Dark Energy Task Force
- String Cosmology: A Review
- Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
- CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
- p-Adic Mathematical Physics
- Dark Energy and Dark Gravity
- Modified non-local-F(R) gravity as the key for the inflation and dark energy
- The Effective Theory of Quintessence: the w<-1 Side Unveiled
- 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
- Reconstructing the Distortion Function for Nonlocal Cosmology
- Route to nonlocal cosmology
- Crossing the Phantom Divide
- Dark Energy: Mystery of the Millennium
- Newtonian limit of nonlocal cosmology
- A formal framework for a nonlocal generalization of Einstein's theory of gravitation
- Bouncing and Accelerating Solutions in Nonlocal Stringy Models
- Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times
- Large Nongaussianity from Nonlocal Inflation
- Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
- The null energy condition and instability
- Search for 14.4 keV solar axions emitted in the M1-transition of 57Fe nuclei with CAST
- Phantom Matter and the Cosmological Constant
- Diffusing non-local inflation: Solving the field equations as an initial value problem
- One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
- On the Null Energy Condition and Cosmology
- Stretching the Inflaton Potential with Kinetic Energy
- Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
- UV stable, Lorentz-violating dark energy with transient phantom era
- Phantom without UV pathology
- Quantization of the Riemann Zeta-Function and Cosmology
- The New Ekpyrotic Ghost
- Tachyon solutions in boundary and cubic string field theory
- Nonlocal instantons and solitons in string models
- Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric
- Dynamics with Infinitely Many Derivatives: Variable Coefficient Equations
- Kinks of open superstring field theory
- Induced cosmological constant and other features of asymmetric brane embedding
- Stringy Model of Cosmological Dark Energy
- Null Energy Condition Violation and Classical Stability in the Bianchi I Metric
- Zeta Nonlocal Scalar Fields
- Crossing the phantom divide
- Nonlocal String Tachyon as a Model for Cosmological Dark Energy
- Strings, Branes and Cosmology: What can we hope to learn?
- TASI Lectures: Introduction to Cosmology
- Towards Inflation and Accelerating Cosmologies in String-Generated Gravity Models
- Dark Energy - a Pedagogic Review
- Rolling Tachyon in Nonlocal Cosmology
- Reconstructing quintom from WMAP 5-year observations: Generalized ghost condensate
- Towards a covariant model for cosmic self-acceleration
- Dark energy constraints and correlations with systematics from CFHTLS weak lensing, SNLS supernovae Ia and WMAP5
Cited by in corpus (19)
- Nonlocal gravity and the diffusion equation
- Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
- De Sitter Universe in Nonlocal Gravity
- Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
- Spherical systems in models of nonlocally corrected gravity
- Reconstruction Procedure in Nonlocal Cosmological Models
- Cosmological Solutions of a Nonlocal Model with a Perfect Fluid
- Cosmological Daemon
- Analysis of scalar perturbations in cosmological models with a non-local scalar field
- String theory as a diffusing system
- Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant
- De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity
- Generalized Lee-Wick Formulation from Higher Derivative Field Theories
- Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology
- New mechanism to cross the phantom divide
- Localization of the SFT inspired Nonlocal Linear Models and Exact Solutions
- FRW Cosmology with Non-positively Defined Higgs Potentials
- Cosmology of non-local f(R) gravity
- Gravitational models with non-local scalar fields