KONOPLYA, Roman and Olexandr ZHYDENKO. (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities. PHYSICS OF THE DARK UNIVERSE. 2020, vol. 30, December 2020, p. "100697-1"-"100697-7", 7 pp. ISSN 2212-6864. Available from: https://dx.doi.org/10.1016/j.dark.2020.100697.
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Basic information
Original name (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
Authors KONOPLYA, Roman (804 Ukraine, belonging to the institution) and Olexandr ZHYDENKO (804 Ukraine, belonging to the institution).
Edition PHYSICS OF THE DARK UNIVERSE, 2020, 2212-6864.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/20:A0000007
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1016/j.dark.2020.100697
UT WoS 000595916100029
Keywords in English Einstein-Gauss-Bonnet theory;de Sitter and anti-de Sitter black holes;Einstein-Lovelock theories
Tags FÚ, FÚ2020, GA19-03950S, RIV21
Tags International impact, Reviewed
Links GA19-03950S, research and development project.
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 26/4/2022 18:47.
Abstract
A (3 + 1)-dimensional Einstein-Gauss-Bonnet effective description of gravity has been recently formulated as the D -> 4 limit of the higher dimensional field equations after the rescaling of the coupling constant. This approach has been recently extended to the four-dimensional Einstein- Lovelock gravity. Although validity of the regularization procedure has not been shown for the general case, but only for a wide class of metrics, the black-hole solution obtained as a result of such a regularization is also an exact solution in the well defined 4D Einstein-Gauss-Bonnet theory suggested by Aoki et al. (2005) and in the scalar-tensor effective classical theories. Here we study the eikonal gravitational instability of asymptotically flat, de Sitter and anti-de Sitter black holes in the four dimensional Einstein-Gauss-Bonnet and Einstein-Lovelock theories. We find parametric regions of the eikonal instability for various orders of the Lovelock gravity, values of coupling and cosmological constants, and share the code which allows one to construct the instability region for an arbitrary set of parameters. For the four-dimensional Gauss-Bonnet black holes we obtain the region of stability in analytic form. Unlike the higher dimensional Einstein-Lovelock case, the eikonal instability serves as an effective cut-off of higher curvature Lovelock terms for the 4D black holes.
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