Black holes in the four-dimensional Einstein-Lovelock gravity

@article{49403,
   author = {Konoplya, Roman and Zhydenko, Olexandr},
   article_number = {8},
   doi = {http://dx.doi.org/10.1103/PhysRevD.101.084038},
   keywords = {SYMMETRICAL-SOLUTIONS; THERMODYNAMICS; SPACE},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Black holes in the four-dimensional Einstein-Lovelock gravity},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.084038},
   volume = {101},
   year = {2020}
}

TY  - JOUR
ID  - 49403
AU  - Konoplya, Roman - Zhydenko, Olexandr
PY  - 2020
TI  - Black holes in the four-dimensional Einstein-Lovelock gravity
JF  - Physical Review D
VL  - 101
IS  - 8
SP  - "084038-1"-"084038-5"
EP  - "084038-1"-"084038-5"
SN  - 24700010
KW  - SYMMETRICAL-SOLUTIONS
KW  - THERMODYNAMICS
KW  - SPACE
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.084038
N2  - A (3 + 1)-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated by Glavan and Lin [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's theorem and avoids Ostrogradsky instability. The theory was formulated in D > 4 dimensions and its action consists of the Einstein-Hilbert term with a cosmological constant, while the Gauss-Bonnet term multiplied by a factor 1/(D - 4). Then, the four-dimensional theory is defined as the limit D -> 4. Here we generalize this approach to the four-dimensional Einstein-Lovelock theory and formulate the most general static 4D black-hole solution allowing for a. term (either positive or negative) and the electric charge Q. As metric functions cannot be found in a closed form in the general case, we develop and share publicly the code which constructs the metric functions for every given set of parameters.
ER  - 

KONOPLYA, Roman and Olexandr ZHYDENKO. Black holes in the four-dimensional Einstein-Lovelock gravity. \textit{Physical Review D}. 2020, vol.~101, No~8, p.~''084038-1''-''084038-5'', 5 pp. ISSN~2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.101.084038.