2018/06/30 by Lei Feng
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Deflection (physics) #Deflection angle #Gravitation #Gravitational field #Horizon #Negative energy #Noncommutative and Quantum Gravity Theories #Optics #Photon #Physics #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Zero-point energy #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1140/epjp/i2019-12781-0
published as Eur.Phys.J.Plus 134 (2019) no.8, 388 · 4 pages, 1 figure, published in Eur.Phys.J.Plus
openalex publication_date 2019/08/01 · arxiv created 2019/10/10 · arxiv updated 2019/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The energy dependence of the deflection angle is a common prediction in some quantum gravity theories when the impact parameters are much larger than the photon wavelength. For low energy photons, the deflection angle recovers to the prediction of GR. But it reduces to zero for infinite energy photons. In this paper, we develop an effective approach to calculate the trajectory of photons and other deflection-related quantities semiclassically by replacing hμν with hμν × f(E) to include the correction of quantum gravity. This approach could provide more information for photons traveling in an external gravitational field. We compute the horizon of micro black hole with this method and find that they are all energy dependent and decrease to zero as the energy increases to infinity.