Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension

Abstract

This note is devoted to the study of Hamiltonian formalism of modified F(R) Horava-Lifshitz theories of gravity that were proposed recently in arXiv:1001.4102[hep-th]. We also study Hamiltonian formulation of the healthy extended Horava-Lifshitz gravities and show that these theories have many unusual and interesting properties.

9 pages, conclusions considering healthy extended version changed, references added

References in corpus (15)

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• Membranes at Quantum Criticality
• A healthy extension of Horava gravity
• 3+1 Formalism and Bases of Numerical Relativity
• Comment on `Strong coupling in extended Horava-Lifshitz gravity'
• A Trouble with Hořava-Lifshitz Gravity
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• Dark energy, inflation and dark matter from modified F(R) gravity
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Cited by in corpus (23)

• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model
• Note About Hamiltonian Formalism of Healthy Extended Horava-Lifshitz Gravity
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Consistency of the Hamiltonian formulation of the lowest-order effective action of the complete Horava theory
• Cosmology in nonrelativistic general covariant theory of gravity
• Hamiltonian Analysis of Non-Relativistic Covariant RFDiff Horava-Lifshitz Gravity
• U(1) Invariant F(R) Horava-Lifshitz Gravity
• Hamiltonian analysis of non-projectable modified F(R) Hořava-Lifshitz gravity
• $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• Lagrange Multiplier Modified Horava-Lifshitz Gravity
• Thermal stability of a special class of black hole solutions in F(R) gravity
• Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Horava-Lifshitz Gravity And Ghost Condensation
• Note About Weyl Invariant Horava-Lifshitz Gravity
• Cosmology of Horava-Lifshitz f(R) Gravity
• Restricted f(R) Gravity and Its Cosmological Implications
• Two Dimensional F(R) Horava-Lifshitz Gravity
• Cosmological Perturbations in Restricted f(R)-Gravity
• Evolving Horava Cosmological Horizons