Gravitational wave radiation from periodic orbits in regular black holes

TL;DR

This paper investigates gravitational wave emissions from periodic orbits around regular black holes, highlighting differences from Schwarzschild black holes and exploring implications for gravitational wave detection.

Contribution

It introduces analytical expressions for gravitational wave radiation from periodic orbits in regular black holes and compares these with Schwarzschild cases.

Findings

Differences in orbit characteristics between regular and Schwarzschild black holes.

Analytical formulas for gravitational wave radiation in Schwarzschild spacetime.

Assessment of detectability with LISA sensitivity curves.

Abstract

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild geometry by analysing orbit characteristics, gravitational wave strain profiles, and the corresponding power spectrum density, for different values of the regularising parameter `$g$'. Further, we assess our results vis-a-vis the LISA sensitivity curves and show how our results may be useful while developing templates for detecting regular black holes as viable alternatives to the singular ones. The appendices to our article contain details on errors in our estimates and provide for the first time, some exact analytical expressions on gravitational wave radiation from different types of periodic orbits in Schwarzschild spacetime.