2020/07/31 by Ricardo Becerril, Susana Valdez-Alvarado, Susana Valdez -Alvarado +4
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Galaxy #Geodesic #Geodesics in general relativity #Geometry #Observer (physics) #Photon #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Redshift #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.103.084054
published as Phys. Rev. D 103, 084054 (2021) · 23 pages, 19 figures, Major revision, title and context changed, App. A added, new figures added, updated to match journal version
openalex publication_date 2021/04/29 · arxiv created 2021/06/04 · arxiv updated 2021/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain the mass parameter for a class of static and spherically symmetric regular black holes (BHs) (namely Bardeen, Hayward and Ay'on-Beato-Garc'\ia BHs) which are solutions of Einstein's field equations coupled to nonlinear electrodynamics (NED) in terms of redshifts and blueshifts of photons emitted by geodesic particles (for instance, stars) orbiting around these BHs. The motion of photons is not governed by null geodesics for these type of spacetime geometries which reflects the direct effects of the electrodynamic nonlinearities in the photon motion; hence, an effective geometry needs to be constructed to study null trajectories [M. Novello et al., Phys. Rev. D 61, 045001 (2000)]. To achieve the above, we first study the constants of motion from the analysis of the motion of both geodesic particles moving in stable circular orbits and photons ejected from them and reaching a distant observer (or detector) in the equatorial plane for the above mentioned regular BHs. The relationship between red/blueshifts of photons and the regular BH observables is presented. We also numerically find the bounds on the photon shifts for these regular BH cases.