Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

@article{29888,
   author = {Toshmatov, Bobir and Stuchlík, Zdeněk and Ahmedov, Bobomurat},
   article_number = {8},
   doi = {http://dx.doi.org/10.1103/PhysRevD.95.084037},
   keywords = {rotating black holes; no-horizon spacetimes; energy conditions; geodesic motion; nonlinear electrodynamics; epicyclic frequencies},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.084037},
   volume = {95},
   year = {2017}
}

TY  - JOUR
ID  - 29888
AU  - Toshmatov, Bobir - Stuchlík, Zdeněk - Ahmedov, Bobomurat
PY  - 2017
TI  - Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics
JF  - Physical Review D
VL  - 95
IS  - 8
SP  - „084037-1“-„084037-16“
EP  - „084037-1“-„084037-16“
SN  - 24700010
KW  - rotating black holes
KW  - no-horizon spacetimes
KW  - energy conditions
KW  - geodesic motion
KW  - nonlinear electrodynamics
KW  - epicyclic frequencies
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.084037
L2  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.084037
N2  - We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled to general relativity that for special values of the spacetime parameters reduce to the Bardeen and Hayward spacetimes. We show that the weak and strong energy conditions are violated inside the Cauchy horizons of these generic rotating black holes. We give the boundary between the rotating black hole and no-horizon spacetimes and determine the black hole horizons and the boundary of the ergosphere. We introduce the separated Carter equations for the geodesic motion in these rotating spacetimes. For the most interesting new class of the regular spacetimes, corresponding for magnetic charges to the Maxwell field in the weak field limit of the nonlinear electrodynamics, we determine the structure of the circular geodesics and discuss their properties. We study the epicyclic motion of a neutral particle moving along the stable circular orbits around the "Maxwellian" rotating regular black holes. We show that epicyclic frequencies measured by the distant observers and related to the oscillatory motion of the neutral test particle along the stable circular orbits around the rotating singular and regular Maxwellian black holes are always smaller than ones in the Kerr spacetime.
ER  - 

TOSHMATOV, Bobir, Zdeněk STUCHLÍK and Bobomurat AHMEDOV. Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics. \textit{Physical Review D}. 2017, vol.~95, No~8, p.~„084037-1“-„084037-16“, 16 pp. ISSN~2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.95.084037.