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@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 a Olexandr ZHYDENKO. Black holes in the four-dimensional Einstein-Lovelock gravity. \textit{Physical Review D}. 2020, roč.~101, č.~8, s.~''084038-1''-''084038-5'', 5 s. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.101.084038.
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