Rational orbits around 4D Einstein-Lovelock black holes

The orbital dynamics in the strong gravitational field might present unique features of quantum gravity and high-dimensional theory. In this paper, a timelike particle's periodic orbits around the 4-dimensional Einstein-Lovelock (4D-EL) black holes are investigated by employing a classification of the zoom-whirl structure with a rational number q. It is found that these rational (periodic) orbits around 4D-EL black holes have a higher or lower energy than the ones around Schwarzschild black holes during the inspiral stage of detecting the gravitational waves. It depends strongly on the sign of a coupling constant in the theory. These results might provide hints for distinguishing 4D-EL black holes from Schwarzschild ones by using the orbital dynamical approach in the strong gravitational field. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the periodic orbits of timelike particles around 4-dimensional Einstein-Lovelock black holes, revealing that these rational orbits have different energy levels compared to Schwarzschild black holes during the inspiral stage of detecting gravitational waves, depending on the sign of a coupling constant. These findings offer clues for distinguishing 4D-EL black holes from Schwarzschild ones using orbital dynamical approach in strong gravitational fields.