Spherical Symmetric Solutions in Hořava-Lifshitz Gravity and their Properties

Abstract

Non-projectable Hořava gravity for a spherically symmetric configuration with $\lambda =1$ exhibits an infinite set of solutions parametrized by a generic function $g^2(r)$ for the radial component of the shift vector. In the IR limit the infinite set of solutions corresponds to the invariance of General Relativity under a spacetime reparametrization. In general, not being a coordinate transformation, the symmetry in the action responsible for the infinite set of solutions does not have a clear physical interpretation. Indeed it is broken by the matter term in the action. We study the behavior of the solutions for generic values of the parameter $g^2(r)$.

References added

References in corpus (43)

• 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
• Quantum gravity without Lorentz invariance
• On the Extra Mode and Inconsistency of Horava Gravity
• Phenomenologically viable Lorentz-violating quantum gravity
• General Covariance in Quantum Gravity at a Lifshitz Point
• Topological Black Holes in Horava-Lifshitz Gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• A Trouble with Hořava-Lifshitz 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
• Field Theory at a Lifshitz Point
• Towards constraining of the Horava-Lifshitz gravities
• Relativistic Quantum Gravity at a Lifshitz Point
• On the Renormalizability of Horava-Lifshitz-type Gravities
• Thermodynamics of Hořava-Lifshitz black holes
• Extremal rotating solutions in Horava Gravity
• On Horava-Lifshitz "Black Holes"
• Solar system tests of Hořava-Lifshitz gravity
• A Test of Horava Gravity: The Dark Energy
• Entropy of black holes in the deformed Hořava-Lifshitz gravity
• On the infrared limit of Horava's gravity with the global Hamiltonian constraint
• Hawking Radiation of Black Holes in Infrared Modified Hořava-Lifshitz Gravity
• Particle Kinematics in Horava-Lifshitz Gravity
• Black Hole Solutions in 5D Horava-Lifshitz Gravity
• Static Spherically Symmetric Solutions to modified Horava-Lifshitz Gravity with Projectability Condition
• Phenomenological constraints on the Kehagias-Sfetsos solution in the Horava-Lifshitz gravity from solar system orbital motions
• Extremal black holes in the Hořava-Lifshitz gravity
• Notes on Matter in Horava-Lifshitz Gravity
• Black hole solutions in Horava-Lifshitz Gravity with cubic terms
• Constraining the Kehagias-Sfetsos solution in the Horava-Lifshitz gravity with extrasolar planets
• Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
• General static spherically symmetric solutions in Horava gravity
• Conformal Anisotropic Mechanics
• A note on particle kinematics in Horava-Lifshitz scenarios
• Particle Motion with Hořava -- Lifshitz type Dispersion Relations
• Static Spherically Symmetric Solutions of Horava-Lifshitz Gravity with Projectability Condition Preserving

Cited by in corpus (5)

• Closure of the algebra of constraints for a nonprojectable Hořava model
• Horava-Lifshitz gravity: tighter constraints for the Kehagias-Sfetsos solution from new solar system data
• Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
• Spherically symmetric solutions, Newton's Law and IR limit λ->1, in Covariant Horava Lifshitz Gravity
• Evolving Horava Cosmological Horizons