Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity
arXiv:1009.1201 · doi:10.1103/PhysRevD.82.103512
Abstract
We obtain the static spherically symmetric vacuum solutions of Horava-Lifshitz gravity theory, imposing the detailed balance condition only in the UV limit. We find the solutions in two different coordinate systems, the Painlevé-Gullstrand coordinates and the Poincare coordinates, to examine the consequences of imposing the projectability condition. The solutions in two coordinate systems are distinct due to the non-relativistic nature of the HL gravity. In the Painleve-Gullstrand coordinates complying with the projectability condition, the solution involves an additional integration constant which yields surplus angle and implies attractive Coulomb force between same charges.
13 pages
References in corpus (25)
- Quantum Gravity at a Lifshitz Point
- Horava-Lifshitz Cosmology
- Strong coupling in Horava gravity
- Solutions to Horava Gravity
- On the Extra Mode and Inconsistency of Horava Gravity
- Chiral Primordial Gravitational Waves from a Lifshitz Point
- Phenomenologically viable Lorentz-violating quantum gravity
- Lorentz symmetry breaking as a quantum field theory regulator
- Cosmology of the Lifshitz universe
- General Covariance in Quantum Gravity at a Lifshitz Point
- 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
- A Trouble with Hořava-Lifshitz Gravity
- Towards constraining of the Horava-Lifshitz gravities
- Renormalization group in Lifshitz-type theories
- Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
- Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
- Cuscuton and low energy limit of Horava-Lifshitz gravity
- On the Renormalizability of Horava-Lifshitz-type Gravities
- Dyonic solution of Horava-Lifshitz Gravity
- On IR solutions in Horava gravity theories
- Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
- z=3 Lifshitz-Horava model and Fermi-point scenario of emergent gravity
- Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms