Gravitational waveforms from periodic orbits around a novel regular black hole

Abstract: The detection of gravitational waves (GWs) by LIGO and Virgo has ushered in a new era of strong-field tests of general relativity. We explore potential quantum gravity signatures by studying periodic orbits and their GW emissions around a novel regular black hole featuring a Minkowski core. Using a rational number $q$, periodic orbits are classified, revealing that the deviation parameter $\alpha_0$ reshapes the bound-orbit region while preserving characteristic "zoom-whirl" structures. Numerical kludge waveforms reveal detectable phase shifts and amplitude modulations induced by quantum gravity effects. Faithfulness analysis demonstrates that larger $\alpha_0$ and $q$ enhance distinguishability from the Schwarzschild case, suggesting that large-$q$ periodic orbits in extreme mass ratio inspirals serve as sensitive probes for quantum gravity effects.