Shadows of parametrized axially symmetric black holes allowing for separation of variables

@article{58626,
   author = {Konoplya, Roman and Zhidenko, A.},
   article_location = {College Park (USA)},
   article_number = {10},
   doi = {http://dx.doi.org/10.1103/PhysRevD.103.104033},
   keywords = {QUASI-NORMAL MODES;DILATON-GAUSS-BONNET;FIELD},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Shadows of parametrized axially symmetric black holes allowing for separation of variables},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.103.104033},
   volume = {103},
   year = {2021}
}

TY  - JOUR
ID  - 58626
AU  - Konoplya, Roman - Zhidenko, A.
PY  - 2021
TI  - Shadows of parametrized axially symmetric black holes allowing for separation of variables
JF  - Physical Review D
VL  - 103
IS  - 10
SP  - "104033-1"-"104033-10"
EP  - "104033-1"-"104033-10"
PB  - American Physical Society
SN  - 24700010
KW  - QUASI-NORMAL MODES;DILATON-GAUSS-BONNET;FIELD
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.103.104033
N2  - Metric of axially symmetric asymptotically flat black holes in an arbitrary metric theory of gravity can be represented in the general form which depends on infinite number of parameters. We constrain this general class of metrics by requiring the existence of additional symmetries, which lead to the separation of variables in the Hamilton-Jacobi and Klein-Gordon equations, and show that once the metric functions change sufficiently moderately in some region near the black hole, the black-hole shadow depends on a few deformation parameters only. We analyze the influence of these parameters on the black-hole shadow. We also show that the shadow of the rotating black hole in the Einstein-dilaton-Gauss-Bonnet theory is well approximated if the terms violating the separation of variables are neglected in the metric.
ER  - 

KONOPLYA, Roman and A. ZHIDENKO. Shadows of parametrized axially symmetric black holes allowing for separation of variables. \textit{Physical Review D}. College Park (USA): American Physical Society, 2021, vol.~103, No~10, p.~''104033-1''-''104033-10'', 10 pp. ISSN~2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.103.104033.