Cyclic and Ekpyrotic Universes in Modified Finsler Osculating Gravity on Tangent Lorentz Bundles

Abstract

We consider models of accelerating Universe elaborated for Finsler like gravity theories constructed on tangent bundles to Lorentz manifolds. In the osculating approximation, certain locally anisotropic configurations are similar to those for f(R) gravity. This allows us to generalize a proposal (by Nojiri, Odintsov and Saez-Gomez, arXiv: 1108.0767) in order to reconstruct and compare two classes of Einstein-Finsler gravity, EFG, and f(R) gravity theories using modern cosmological data and realistic physical scenarios. We conclude that EFG provides inflation, acceleration and little rip evolution scenarios with realistic alternatives to standard Lambda CDM cosmology. The approach is based on a proof that there is a general decoupling property of gravitational field equations in EFG and modified theories which allows us to generate off-diagonal cosmological solutions.

arXiv commentlatex2e, 28 pages, version accepted by CQG, with modifications and additional explanations and new references requested by referees

References in corpus (29)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• A New Cosmological Model of Quintessence and Dark Matter
• Cosmological reconstruction of realistic modified F(R) gravities
• The Little Rip
• Viscous Little Rip Cosmology
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Solving the Coincidence Problem: Tracking Oscillating Energy
• Models for Little Rip Dark Energy
• Why the cosmological constant is small and positive
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
• Clifford and Riemann-Finsler Structures in Geometric Mechanics and Gravity
• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• Implications of a Stochastic Microscopic Finsler Cosmology
• Finsler and Lagrange Geometries in Einstein and String Gravity
• Modified Dispersion Relations in Horava-Lifshitz Gravity and Finsler Brane Models
• Imperfect fluids, Lorentz violations and Finsler Cosmology
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy
• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Bi-metric pseudo-Finslerian spacetimes
• Weak Gravitational Field in Finsler-Randers Space and Raychaudhuri Equation
• Finsler Branes and Quantum Gravity Phenomenology with Lorentz Symmetry Violations
• On General Solutions of Einstein Equations
• Entropy of Contracting Universe in Cyclic Cosmology
• New Classes of Off-Diagonal Cosmological Solutions in Einstein Gravity
• Principles of Einstein-Finsler Gravity and Cosmology

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• A Critical Review of Classical Bouncing Cosmologies
• Resembling dark energy and modified gravity with Finsler-Randers cosmology
• Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
• The Finslerian wormhole models
• Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
• Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
• Finsler metrics and relativistic spacetimes
• Bounce cosmology in generalized modified gravities
• Standard static Finsler spacetimes
• CPT-Violating Leptogenesis induced by Gravitational Defects
• The Finslerian compact star model
• Schwarzschild-like solutions in Finsler-Randers gravity
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• On Finsler spacetimes with a timelike Killing vector field
• Finsler-Randers-Sasaki gravity and cosmology
• Effective Einstein Cosmological Spaces for Non-Minimal Modified Gravity
• Off-Diagonal Ekpyrotic Scenarios and Equivalence of Modified, Massive and/or Einstein Gravity
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
• Applications of the Schwarzschild-Finsler-Randers model
• On Supersymmetric Geometric Flows and ${\mathcal{R}}^2$ Inflation From Scale Invariant Supergravity
• Equivalent off-diagonal cosmological models and ekpyrotic scenarios in f(R)-modified, massive and Einstein gravity
• Ghost-Free Massive $f(R)$ Theories Modelled as Effective Einstein Spaces and Cosmic Acceleration
• Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
• Cosmic magnetization in curved and Lorentz violating space-times
• Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• Modified Dynamical Supergravity Breaking and Off-Diagonal Super-Higgs Effects
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• Turbulence Accelerating Cosmology from an Inhomogeneous Dark Fluid
• Wormholes and Off-Diagonal Solutions in f(R,T), Einstein and Finsler Gravity Theories
• Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections
• The Anholonomic Frame and Connection Deformation Method for constructing off-diagonal solutions in (modified) Einstein gravity and nonassociative geometric flows and Finsler-Lagrange-Hamilton theories
• Einstein Spaces Modeling Nonminimal Modified Gravity
• Isotropization in Chaplygin matter universes connected by a wormhole
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles