Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910220495618048 |
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| author | Lütfüoğlu, Bekir Can |
| author_facet | Lütfüoğlu, Bekir Can |
| contents | 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 Padé 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_10844 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity Lütfüoğlu, Bekir Can General Relativity and Quantum Cosmology 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 Padé 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. |
| title | Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.10844 |