What question did this study set out to answer?

The main aim is to explore how Gauss-Bonnet corrections affect the orbits and gravitational wave emissions from charged black holes. It also seeks to establish constraints on model parameters using observational data.

April 28, 2026Open Access

Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity

Key Points

The main aim is to explore how Gauss-Bonnet corrections affect the orbits and gravitational wave emissions from charged black holes. It also seeks to establish constraints on model parameters using observational data.
Analyzed orbital dynamics of neutral test particles around a charged black hole in 4D Einstein-Gauss-Bonnet gravity.
Investigated the mean radial distance, angular momentum, and energy of marginally bound orbits and ISCO as functions of the Gauss-Bonnet parameter α and charge Q.
Combined observational data from BH shadows and stellar orbits to constrain parameters α and Q.
Increased α or charge Q decreases orbital radius, angular momentum, and energy, shifting the bound orbit region left in (E, L) space.
Model parameters α and Q were constrained using observational data, indicating limits on their values.
Variations in α and Q resulted in distinguishable gravitational wave phases and periodic orbit structures.

Abstract

This paper investigates the orbital dynamics and gravitational wave radiation characteristics of neutral test particles around a static spherically symmetric charged black hole (BH) in 4D Einstein-Gauss-Bonnet (4D-EGB) gravity theory. We analyze the dependence of the marginally bound orbit (MBO) and the innermost stable circular orbit (ISCO) on the Gauss-Bonnet coupling parameter α and charge Q . The results indicate that the orbital radius, angular momentum, and energy all decrease with increasing α or Q , with the corresponding bound orbit region shifting leftward in the ( E, L ) parameter space. By combining observational data from the BH shadows of M87* and Sgr A* as well as the orbital precession of the S2 star, we constrain the model parameters and find that existing observations can limit the ranges of α and Q to a certain extent. Furthermore, we investigate the characteristics of periodic orbits corresponding to different rational numbers q and the gravitational waveforms they excite, finding that variations in α and Q can lead to distinguishable differences in periodic orbit structures and gravitational wave phases. This study contributes to understanding the effects of Gauss-Bonnet corrections on BH spacetimes, and the results may provide theoretical references for future gravitational wave observations of extreme mass ratio inspirals (EMRIs).

Read Full Paperexternally

اسأل الذكاء الاصطناعي

Bookmark

View Full Paper