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Precessing and periodic orbits around Lee–Wick black holes

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Abstract

We investigate neutral massive particles’ precessing and periodic motions around Lee–Wick black holes. By deriving the secular periastron precession for the massive particles orbiting around Lee–Wick black holes, we obtain a preliminary bound on the UV scale of the spacetime in view of the orbit of the S2 star around Sgr A*. It shows that the precessing in the weak gravitational field is very similar to Schwarzschild ones. After that, in the strong gravitational field, periodic motions for the particles are studied by taking a taxonomy into account. And it suggests that the variation of the UV scale can change the taxonomy for the quasi-periodic and periodic motions. It also leads to a transition from a quasi-periodic motion to periodic motion, and vice versa. These maybe provide us a chance to identify some information of Lee–Wick black holes by using the orbital dynamics of the massive particles nearby the strong gravitational field.

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Acknowledgements

This work is funded by the National Natural Science Foundation of China (Grant Nos. 12173094, 11773080 and 11473072) and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDA15016700).

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  1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210023, China

    Hou-Yu Lin & Xue-Mei Deng

  2. School of Astronomy and Space Science, University of Science and Technology of China, Hefei, 230026, China

    Hou-Yu Lin

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Lin, HY., Deng, XM. Precessing and periodic orbits around Lee–Wick black holes. Eur. Phys. J. Plus 137, 176 (2022). https://doi.org/10.1140/epjp/s13360-022-02391-6

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