The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
arXiv:0912.0136 · doi:10.1103/PhysRevD.86.123507
Abstract
In the framework of Horava-Lifshitz theory, we study the eigenvalues associated with the Wheeler-DeWitt equation representing the vacuum expectation values associated with the cosmological constant. The explicit calculation is performed with the help of a variational procedure with trial wave functionals of the Gaussian type. We analyze both the case with the detailed balanced condition and the case without it. In the case without the detailed balance, we find the existence of an eigenvalue depending on the set of coupling constants (g2,g3) and (g4,g5,g6), respectively, and on the physical scale.
RevTeX,11 Pages, Substantial Improvements. References added. To appear in Phys.Rev.D
References in corpus (54)
- Quantum Gravity at a Lifshitz Point
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- Horava-Lifshitz Cosmology
- The black hole and FRW geometries of non-relativistic gravity
- Strong coupling in Horava gravity
- Solutions to Horava Gravity
- Chiral Primordial Gravitational Waves from a Lifshitz Point
- Phenomenologically viable Lorentz-violating quantum gravity
- Cosmology of the Lifshitz universe
- Black holes in asymptotically Lifshitz spacetime
- Thermodynamics of Black Holes in Horava-Lifshitz Gravity
- The Black Hole and Cosmological Solutions in IR modified Horava Gravity
- Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
- Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
- Cosmological perturbations in Horava-Lifshitz theory without detailed balance
- A Trouble with Hořava-Lifshitz Gravity
- Perturbative instabilities in Horava gravity
- Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
- Non-singular cosmology in a model of non-relativistic gravity
- On the z=4 Horava-Lifshitz Gravity
- Towards constraining of the Horava-Lifshitz gravities
- Phase-space analysis of Horava-Lifshitz cosmology
- Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
- Horava-Lifshitz Dark Energy
- Testing Hořava-Lifshitz gravity using thin accretion disk properties
- Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
- Phenomenological Aspects of Horava-Lifshitz Cosmology
- Relativistic Quantum Gravity at a Lifshitz Point
- On the Renormalizability of Horava-Lifshitz-type Gravities
- Thermodynamics of Hořava-Lifshitz black holes
- Cosmological Perturbations in Hořava-Lifshitz Gravity
- Extremal rotating solutions in Horava Gravity
- Caustic avoidance in Horava-Lifshitz gravity
- Dyonic solution of Horava-Lifshitz Gravity
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity
- A Test of Horava Gravity: The Dark Energy
- Particle propagation and effective space-time in Gravity's Rainbow
- Horava-Lifshitz Holography
- Timelike Geodesic Motion in Horava-Lifshitz Spacetime
- The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
- Wormhole solutions to Horava gravity
- A noncommutative approach to the cosmological constant problem
- Self-sustained wormholes in modified dispersion relations
- z=3 Lifshitz-Horava model and Fermi-point scenario of emergent gravity
- The Cosmological Constant and Horava-Lifshitz Gravity
- Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
- Plane symmetric solutions in Horava-Lifshitz theory
- Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz Cosmology
- Interacting Dark Energy in Hořava-Lifshitz Cosmology
- Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
- Toroidal solutions in Horava Gravity
- Relic gravitational wave spectrum, the trans-Planckian physics and Hořava-Lifshitz gravity
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- Hořava-Lifshitz Quantum Cosmology
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- Naked Singularities are not Singular in Distorted Gravity
- Constraints on Operator Ordering from Third Quantization
- Condensation for non-relativistic matter in Hořava-Lifshitz gravity
- Holographic Superconductors in Hořava-Lifshitz gravity without condition of detailed balance
- Is the cosmological constant an eigenvalue?