Geodesic completeness of effective null geodesics in regular space-times with non-linear electrodynamics
arXiv:2304.05852 · doi:10.1140/epjc/s10052-023-11969-y
Abstract
We study the completeness of light trajectories in certain spherically symmetric regular geometries found in Palatini theories of gravity threaded by non-linear (electromagnetic) fields, which makes their propagation to happen along geodesics of an effective metric. Two types of geodesic restoration mechanisms are employed: by pushing the focal point to infinite affine distance, thus unreachable in finite time by any sets of geodesics, or by the presence of a defocusing surface associated to the development of a wormhole throat. We discuss several examples of such geometries to conclude the completeness of all such effective paths. Our results are of interest both for the finding of singularity-free solutions and for the analysis of their optical appearances e.g. in shadow observations.
arXiv comment7 pages, 4 figures
References in corpus (30)
- Formation and evaporation of non-singular black holes
- Nonlinear collective effects in photon-photon and photon-plasma interactions
- Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
- Geometrical aspects of light propagation in nonlinear electrodynamics
- Born-Infeld inspired modifications of gravity
- The 1965 Penrose singularity theorem
- Geodesically complete black holes
- Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
- QED Effect on Black Hole Shadow
- Wormholes and nonsingular space-times in Palatini gravity
- Light propagation in non linear electrodynamics
- Light propagation in non-trivial QED vacua
- ``Faster than Light'' Photons in Gravitational Fields -- Causality, Anomalies and Horizons
- Fresnel analysis of the wave propagation in nonlinear electrodynamics
- Mapping Ricci-based theories of gravity into general relativity
- Geodesic completeness in a wormhole spacetime with horizons
- What is a singular black hole beyond General Relativity?
- QED and accretion flow models effect on optical appearance of Euler-Heisenberg black holes
- Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
- The shadow of M87* black hole within rational nonlinear electrodynamics
- Falsifying cosmological models based on a non-linear electrodynamics
- Consequences of vacuum polarization on electromagnetic waves in a Lorentz-symmetry breaking scenario
- Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
- Birefringence and QuasiNormal Modes of the Einstein-Euler-Heisenberg Black Hole
- On gravitational waves in Born-Infeld inspired non-singular cosmologies
- Impact of curvature divergences on physical observers in a wormhole space-time with horizons
- Accelerated observers and the notion of singular spacetime
- Profiled spectral lines of Keplerian rings orbiting in the regular Bardeen black hole spacetimes
- Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes
- Geodesic completeness of a ring wormhole