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arXiv · 2603.10844

Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity

Bekir Can Lütfüoğlu
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Abstract

We investigate massive scalar perturbations and several characteristics of particle motion in the spacetime of regular black holes arising in four-dimensional quasi-topological gravity. Quasinormal modes are computed using high-order WKB approximations with Pad\'e resummation and verified through time-domain integration. For moderate values of the scalar-field mass, the time-domain profiles confirm the WKB results with excellent accuracy. As the mass increases, the damping rate decreases substantially, indicating the approach to the quasi-resonant regime of long-lived modes. For sufficiently large masses, the late-time signal becomes dominated by oscillatory power-law tails, which mask the quasi-resonant mode in the time-domain profile. In addition, we analyze photon motion and circular geodesics, including the photon-sphere radius, shadow size, Lyapunov exponent, and ISCO characteristics. These quantities exhibit only moderate deviations from their Schwarzschild values, unlike the Hawking temperature of the black hole.

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Bekir Can Lütfüoğlu. 2026-03-11. Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity. https://doi.org/10.1140/epjc%2Fs10052-026-15807-9

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