Probing quantum anomaly corrections on black hole physics through chaos
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917173174206464 |
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| author | An, Yu-Sen Zhang, Wei-Hao |
| author_facet | An, Yu-Sen Zhang, Wei-Hao |
| contents | The black hole horizon can induce chaotic motion of particles around the black hole. The original integrable motion of particles can transit to the chaotic motion when approaching black hole horizon. In this work, we consider the black hole background where quantum conformal anomaly correction is taken into account. We use Poincare section and Lyapunov exponent as representative probes to illustrate chaos. We investigate the effect of anomaly coefficient on the chaos of particles and for both probes, we find that quantum anomaly generally enhances the chaos of particle motions. As the chaotic orbits of particles can leave an imprint on the gravitational wave signals of the extreme mass ratio inspirals, our results pave the way to detect conformal anomaly effect in actual observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing quantum anomaly corrections on black hole physics through chaos An, Yu-Sen Zhang, Wei-Hao General Relativity and Quantum Cosmology The black hole horizon can induce chaotic motion of particles around the black hole. The original integrable motion of particles can transit to the chaotic motion when approaching black hole horizon. In this work, we consider the black hole background where quantum conformal anomaly correction is taken into account. We use Poincare section and Lyapunov exponent as representative probes to illustrate chaos. We investigate the effect of anomaly coefficient on the chaos of particles and for both probes, we find that quantum anomaly generally enhances the chaos of particle motions. As the chaotic orbits of particles can leave an imprint on the gravitational wave signals of the extreme mass ratio inspirals, our results pave the way to detect conformal anomaly effect in actual observations. |
| title | Probing quantum anomaly corrections on black hole physics through chaos |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.19163 |