On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity

Abstract

The present thesis is focused on the study of FLRW cosmology in modified gravities and with scalar fields. The mystery of dark energy has made that the last decade, many efforts in theoretical physics have been focused on the explanation of the current acceleration of the Universe expansion. On the other hand, an early accelerated epoch, known as inflation, is also required in the standard cosmological model in order to fit the observational data. Here, we study the possibility to explain both effects under the same mechanism, by means of scalar fields or modified gravity. In this sense, F(R) and Gauss-Bonnet gravities are studied. This analysis is also extended to Hořava-Lifshitz gravity, a theory that seems to be power counting renormalizable, in spite of it contains other serious problems that are also discussed in the thesis.

PhD thesis, March 2011, University of Barcelona. 176 pages. Language: English. Preface in Spanish and Catalan. 13 chapters

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• The Fate of Bound Systems in Phantom and Quintessence Cosmologies
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Geodesic behavior of sudden future singularities
• On the LCDM Universe in f(R) gravity
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Effective equation of state for dark energy: mimicking quintessence and phantom energy through a variable Lambda
• Crossing w=-1 in Gauss-Bonnet Brane World with Induced Gravity
• The evolution of density perturbations in f(R) gravity
• A unified approach to scaling solutions in a general cosmological background
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• Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
• New Isotropic and Anisotropic Sudden Singularities
• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Classification of cosmological milestones
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• On the Holographic Principle in a Radiation Dominated Universe
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• Viscous dark energy and phantom evolution
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• A Trouble with Hořava-Lifshitz Gravity
• Avoidance of future singularities in loop quantum cosmology
• A dynamical inconsistency of Horava gravity
• The Newtonian limit at intermediate energies
• Coupled oscillators as models of quintom dark energy
• Stability of the Einstein static universe in f(R) gravity
• On the evolution of density perturbations in f(R) theories of gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Viability of f(R) Theories with Additional Powers of Curvature
• The oscillating dark energy: future singularity and coincidence problem
• Physical non-equivalence of the Jordan and Einstein frames
• Phenomenological Aspects of Horava-Lifshitz Cosmology
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• Phantom Cosmologies
• Two-Field Quintom Models in the w-w' Plane
• Phantom-like GCG and the constraints of its parameters via cosmological dynamics
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• On the way from matter-dominated era to dark energy universe
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Viscous Ricci Dark Energy
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• The phase space view of f(R) gravity
• Constraining Inverse Curvature Gravity with Supernovae
• On the Stability of a class of Modified Gravitational Models
• Modified gravity as an alternative for Lambda-CDM cosmology
• Conformal transformations in classical gravitational theories and in cosmology
• Phantom k-essence cosmologies
• On big rip singularities
• Detailed balance in Horava-Lifshitz gravity
• On Horava-Lifshitz "Black Holes"
• Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
• Generalized holographic dark energy and the IR cutoff problem
• Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
• Initial and final de Sitter universes from modified $f(R)$ gravity
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• Which cosmological model with dark energy -- phantom or LambdaCDM
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• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Covariant renormalizable gravity and its FRW cosmology
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• Viscous FRW Cosmology in Modified Gravity
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• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• Cosmological evolution in vector-tensor theories of gravity
• Solar System planetary orbital motions and f(R) Theories of Gravity
• A Test of Horava Gravity: The Dark Energy
• Future Singularities of Isotropic Cosmologies
• Stability of the Einstein static universe in IR modified Hořava gravity
• Overview of the SuperNova/Acceleration Probe (SNAP)
• Baryogenesis, 30 Years after
• Strings at future singularities
• Note About Hamiltonian Formalism of Healthy Extended Horava-Lifshitz Gravity
• Remarks on generalized Gauss-Bonnet dark energy
• Classification of cosmology with arbitrary matter in the Hořava-Lifshitz theory
• Comments on the Sign and Other Aspects of Semiclassical Casimir Energies
• A crucial ingredient of inflation
• On the infrared limit of Horava's gravity with the global Hamiltonian constraint
• Crossing of the w=-1 barrier in viscous modified gravity
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Particle Kinematics in Horava-Lifshitz Gravity
• New "Bigs" in cosmology
• A Note on the Cardy-Verlinde Formula
• A complete analysis of linear cosmological perturbations in Hořava-Lifshitz gravity
• New Models of f(R) Theories of Gravity
• Relaxing a large cosmological constant
• Natural Phantom Dark Energy, Wiggling Hubble Parameter $H(z)$ and Direct $H(z)$ Data
• Hamiltonian Analysis of Non-Relativistic Covariant RFDiff Horava-Lifshitz Gravity
• Dark Energy Fluid with Time-Dependent, Inhomogeneous Equation of State
• The solution of the cosmological constant problem from the inhomogeneous equation of state - a hint from modified gravity?
• Remarks on the consistency of minimal deviations from General Relativity
• Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension
• Conformal Anisotropic Mechanics
• Closure of the algebra of constraints for a nonprojectable Hořava model
• Coincidence Problem in an Oscillating Universe
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Hamiltonian analysis of non-projectable modified F(R) Hořava-Lifshitz gravity
• Oscillating Universe from inhomogeneous EoS and coupled dark energy
• $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity
• Stability of cosmological solutions in F(R) Horava-Lifshitz gravity
• Reconstructing the properties of dark energy from recent observations
• Comment on Casimir energy for spherical boundaries
• Viscous Modified Gravity on a RS Brane Embedded in AdS5
• Chaotic universe in the z=2 Hovava-Lifshitz gravity
• On Geodesic Motion in Horava-Lifshitz Gravity
• Exponential Potentials and Attractor Solution of Dilatonic Cosmology
• A primer on problems and prospects of dark energy
• Horava-Lifshitz Gravity And Ghost Condensation
• A Universe Dominated by Dilaton Field
• Can Phantom-Dominated Universe Decelerate Also in Future ?
• Scalar-Tensor theories and current Cosmology
• Entropy Bounds in Spherical Space
• Reconstructing cosmological solutions in F(R) gravity. Towards a unified model of the Universe evolution

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• Confronting the relaxation mechanism for a large cosmological constant with observations
• The cosmological constant filter without big bang singularity