Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications ...

@article{49442,
   author = {Konoplya, Roman and Pappas, Thomas and Zhydenko, Olexandr},
   article_number = {4},
   doi = {http://dx.doi.org/10.1103/PhysRevD.101.044054},
   keywords = {Einstein-scalar-Gauss-Bonnet (EsGB) gravity;field equations},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.044054},
   volume = {101},
   year = {2020}
}

TY  - JOUR
ID  - 49442
AU  - Konoplya, Roman - Pappas, Thomas - Zhydenko, Olexandr
PY  - 2020
TI  - Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows
JF  - Physical Review D
VL  - 101
IS  - 4
SP  - "044054-1"-"044054-20"
EP  - "044054-1"-"044054-20"
SN  - 24700010
KW  - Einstein-scalar-Gauss-Bonnet (EsGB) gravity;field equations
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.044054
N2  - Recently, numerical solutions to the field equations of Einstein-scalar-Gauss-Bonnet (EsGB) gravity that correspond to black holes with nontrivial scalar hair have been reported. Here, we employ the method of the continued-faction expansion in terms of a compact coordinate in order to obtain an analytical approximation for the aforementioned solutions. For a wide variety of coupling functionals to the Gauss-Bonnet term we were able to obtain analytical expressions for the metric functions and the scalar field. In addition we estimated the accuracy of these approximations by calculating the black-hole shadows for such black holes. Excellent agreement between the numerical solutions and analytical approximations has been found.
ER  - 

KONOPLYA, Roman, Thomas PAPPAS a Olexandr ZHYDENKO. Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows. \textit{Physical Review D}. 2020, roč.~101, č.~4, s.~''044054-1''-''044054-20'', 20 s. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.101.044054.