Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity

Abstract

We study thermodynamics of cosmological models in the Horava-Lifshitz theory of gravity, and systematically investigate the evolution of the universe filled with a perfect fluid that has the equation of state $p=w\rho$, where $p$ and $\rho$ denote, respectively, the pressure and energy density of the fluid, and $w$ is an arbitrary real constant. Depending on specific values of the free parameters involved in the models, we classify all of them into various cases. In each case the main properties of the evolution are studied in detail, including the periods of deceleration and/or acceleration, and the existence of big bang, big crunch, and big rip singularities. We pay particular attention on models that may give rise to a bouncing universe.

arXiv commentrevtex4, 21 figures. New references added & some changes made in Introduction. Version to appear in JCAP

References in corpus (42)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Quantum Gravity at a Lifshitz Point
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Brane-world gravity
• Membranes at Quantum Criticality
• General Laws of Black-Hole Dynamics
• Large and infinite extra dimensions
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• Gravitational Energy in Spherical Symmetry
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• Duality Invariance of Cosmological Perturbation Spectra
• Brane World Cosmology
• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• Black holes in asymptotically Lifshitz spacetime
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation
• Cosmological perturbations through a simple bounce
• On the z=4 Horava-Lifshitz Gravity
• Cosmology without inflation
• Thermodynamical properties of the Universe with dark energy
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• Correlation Functions in Non-Relativistic Holography
• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Planck-scale Lorentz violation constrained by Ultra-High-Energy Cosmic Rays
• Dynamical Stability of Six-Dimensional Warped Brane-Worlds
• Thermodynamical properties of dark energy
• Dark Energy from Brane-world Gravity
• Strings, Branes and Extra Dimensions
• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• No-Go Theorem in Spacetimes with Two Commuting Spacelike Killing Vectors
• Comment on "Absence of trapped surfaces and singularities in cylindrical collapse"
• Is our Universe brany ?
• Brane-world cosmology
• Classifying the Future of Universes with Dark Energy
• Braneworlds
• Paths of Friedmann-Robertson-Walker brane models

Cited by in corpus (109)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Testing General Relativity in Cosmology
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Cosmological perturbations in Horava-Lifshitz theory without detailed balance
• Phase-space analysis of Horava-Lifshitz cosmology
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Testing Hořava-Lifshitz gravity using thin accretion disk properties
• Extremal rotating solutions in Horava Gravity
• On Horava-Lifshitz "Black Holes"
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Caustic avoidance in Horava-Lifshitz gravity
• New agegraphic dark energy in Horava-Lifshitz cosmology
• Covariant renormalizable gravity and its FRW cosmology
• Solar system tests of Hořava-Lifshitz gravity
• Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Polarizing primordial gravitational waves by parity violation
• Emergent universe from the Hořava-Lifshitz gravity
• Holographic dark energy with varying gravitational constant in Horava-Lifshitz cosmology
• U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition
• Scalar field perturbations in Horava-Lifshitz cosmology
• A Test of Horava Gravity: The Dark Energy
• Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model
• Thin accretion disk signatures of slowly rotating black holes in Hořava gravity
• Stability of the Einstein static universe in IR modified Hořava gravity
• An analysis of the phase space of Horava-Lifshitz cosmologies
• Horava-Lifshitz Holography
• Black holes and stars in Horava-Lifshitz theory with projectability condition
• Hawking Radiation of Black Holes in Infrared Modified Hořava-Lifshitz Gravity
• Wormhole solutions to Horava gravity
• Oscillating Universe in Horava-Lifshitz Gravity
• Particle Kinematics in Horava-Lifshitz Gravity
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Large scale evolution of the curvature perturbation in Horava-Lifshitz cosmology
• Hořava-Lifshitz Quantum Cosmology
• Stellar center is dynamical in Horava-Lifshitz gravity
• Stability of the Einstein Static Universe in open cosmological models
• Horava-Lifshitz f(R) Gravity
• Cosmology in nonrelativistic general covariant theory of gravity
• Black Hole Solutions in 5D Horava-Lifshitz Gravity
• Extended Chaplygin Gas in Horava-Lifshitz Gravity
• General relativity limit of Horava-Lifshitz gravity with a scalar field in gradient expansion
• The Cosmological Constant and Horava-Lifshitz Gravity
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Schwinger-Dyson approach for a Lifshitz-type Yukawa model
• Extremal black holes in the Hořava-Lifshitz gravity
• Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity
• First laws of thermodynamics in IR Modified Hǒrava-Lifshitz gravity
• A proposal for covariant renormalizable field theory of gravity
• Big Bang nucleosynthesis with a stiff fluid
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• Plane symmetric solutions in Horava-Lifshitz theory
• Recent advances in cosmological singularities
• Black hole solutions in Horava-Lifshitz Gravity with cubic terms
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Classical and quantum Hořava-Lifshitz cosmology in a minisuperspace perspective
• Quantum Singularities in Horava-Lifshitz Cosmology
• The Scale-invariant Power Spectrum of Primordial Curvature Perturbation in CSTB Cosmos
• Propagations of massive graviton in the deformed Hořava-Lifshitz gravity
• Primordial magnetic field from non-inflationary cosmic expansion in Horava-Lifshitz gravity
• Observational constraints on Horava-Lifshitz cosmology
• Clausius relation and Friedmann equation in FRW universe model
• Horava-Lifshitz cosmology with generalized Chaplygin gas
• Slowly Rotating Black Hole Solutions to Hořava-Lifshitz Gravity
• Quantization of (1+1)-dimensional Hořava-Lifshitz theory of gravity
• Emergence of spaces and the dynamic equations of FRW universes in the $f(R)$ theory and deformed Hořava-Lifshitz theory
• Solar system tests and interpretation of gauge field and Newtonian prepotential in general covariant Hořava-Lifshitz gravity
• Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole
• Brans-Dicke Theory and Thermodynamical Laws on Apparent and Event Horizons
• Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity
• Solar system constraints on asymptotically flat IR modified Horava gravity through light deflection
• Dynamical evolution of scalar perturbation in Hořava-Lifshitz black-hole spacetimes
• Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• Stability of cosmological solutions in F(R) Horava-Lifshitz gravity
• Observational Constraints on Modified Chaplygin Gas in Horava-Lifshitz Gravity
• Particle Probe of Horava-Lifshitz Gravity
• Overall observational constraints on the running parameter λof Horava-Lifshitz gravity
• The phase portrait of a matter bounce in Horava-Lifshitz cosmology
• Smooth cosmological phase transition in the Horava-Lifshitz gravity
• On Geodesic Motion in Horava-Lifshitz Gravity
• Four dimensional string solutions in Hořava-Lifshitz gravity
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Traversable wormhole in the deformed Hořava-Lifshitz gravity
• Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Hořava-Lifshitz cosmological models in noncommutative space-times
• Gravitational collapse in Hořava-Lifshitz theory
• Matter couplings in Horava-Lifshitz and their cosmological applications
• Power Law Entropy Corrected New-Agegraphic Dark Energy in Hořava-Lifshitz Cosmology
• Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p=w\rho$
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava Gravity
• Thermodynamics in Quasi-Spherical Szekeres Space-Time
• Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology
• String in Horava-Lifshitz Gravity
• Analytical expressions for greybody factor and dynamic evolution for scalar field in Hořava-Lifshitz black hole
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Black Strings in Hořava-Lifshitz Gravity
• Bounce scenarios in the Sotiriou-Visser-Weinfurtner generalization of the projectable Horava-Lifshitz gravity
• Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity
• Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Following the density perturbations through a bounce with AdS/CFT Correspondence
• Domain Wall solutions to Horava gravity
• Hubble tension problem encompassed by phase-space quantum cosmology