Dispersion relation and surface gravity of universal horizons
arXiv:1611.03153 · doi:10.1007/s11433-017-9012-8
Abstract
In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal horizons, we first modify the ray tracing method, and then use it to study their surface gravity in charged Einstein-aether black hole spacetime. Instead of the previous result in Ref. [Phys. Rev. D 89, 064061], our results show that the surface gravity of the universal horizon is dependent on the specific dispersion relation, , where denotes the power of the leading term in the superluminal dispersion relation, characterizing different species of particles. And the associated Hawking temperatures also are different with . These findings, which coincide with those in Ref. [Nucl. Phys. B 913, 694] derived by the tunneling method, provide some full understanding of black hole thermodynamics in Lorentz-violating theories.
arXiv comment12 pages, accepted for publication in Sci China-Phys Mech Astron
References in corpus (50)
- Quantum Gravity at a Lifshitz Point
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Relativistic gravitation theory for the MOND paradigm
- Gravity, Lorentz Violation, and the Standard Model
- High-Energy Tests of Lorentz Invariance
- Modern tests of Lorentz invariance
- Gravity with a dynamical preferred frame
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
- Ultraviolet modifications of dispersion relations in effective field theory
- Cosmic Ray and Neutrino Tests of Special Relativity
- Hawking Spectrum and High Frequency Dispersion
- Einstein-Aether Waves
- Modifying gravity with the Aether: an alternative to Dark Matter
- Hawking Radiation Without Transplanckian Frequencies
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- Testing local Lorentz invariance with gravitational waves
- Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
- On the Universality of the Hawking Effect
- Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
- Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
- Cosmological perturbations in Horava-Lifshitz theory without detailed balance
- Mechanics of universal horizons
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Hawking-like radiation from evolving black holes and compact horizonless objects
- The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity
- Lorentz violation and perpetual motion
- Towards thermodynamics of universal horizons in Einstein-æther theory
- Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem
- Charged Einstein-aether black holes and Smarr formula
- Scalar field perturbations in Horava-Lifshitz cosmology
- Ray tracing Einstein-Æther black holes: Universal versus Killing horizons
- Surface gravities for non-Killing horizons
- Spontaneous Breaking of Lorentz Invariance
- Black Hole Thermodynamics and Lorentz Symmetry
- A light SUSY dark matter after CDMS-II, LUX and LHC Higgs data
- Modified gravity approach based on a preferred time foliation
- Universal horizons and black holes in gravitational theories with broken Lorentz symmetry
- Black hole radiation in the presence of a universal horizon
- Vector and tensor perturbations in Horava-Lifshitz cosmology
- Hawking radiation of charged Einstein-aether black holes at both Killing and universal horizons
- Post-Newtonian constraints on Lorentz-violating gravity theories with a MOND phenomenology
- Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
- High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
- New look at black holes: Existence of universal horizons
- Accelerated expansion of the Universe driven by dynamic self-interaction
- Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
- Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality
Cited by in corpus (6)
- Gravitational quasinormal modes of black holes in Einstein-aether theory
- Hawking Radiation from Universal Horizons
- Hawking Radiation in Lorentz Violating Gravity: A Tale of Two Horizons
- No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
- Time Orientability and Particle Production from Universal Horizons
- Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled with a non-relativistic scalar field