4D EinsteinLovelock black holes: Hierarchy of orders in curvature
Abstract
The EinsteinLovelock theory contains an infinite series of corrections to the Einstein term with an increasing power of the curvature. It is wellknown that for large black holes the lowest (GaussBonnet) term is the dominant one, while for smaller black holes higher curvature corrections become important. We will show that if one is limited by positive values of the coupling constants, then the dynamical instability of black holes serves as an effective cutoff of influence of higher curvature corrections in the 4D EinsteinLovelock approach: the higher is the order of the Lovelock term, the smaller is the maximal value of the coupling constant allowing for stability, so that effectively only a first few orders can deform the observable values seemingly. For negative values of coupling constants this is not so, and, despite some suppression of higher order terms also occurs due to the decreasing threshold values of the coupling constant, this does not lead to an noticeable opportunity to neglect higher order corrections. In the case a lot of orders of Lovelock theory are taken into account, so that the blackhole solution depends on a great number of coupling constants, we propose a compact description of it in terms of only two or three parameters encoding all the observable values.
 Publication:

Physics Letters B
 Pub Date:
 August 2020
 DOI:
 10.1016/j.physletb.2020.135607
 arXiv:
 arXiv:2005.02225
 Bibcode:
 2020PhLB..80735607K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 8 pages, 1 ancillary Mathematica(R) notebook