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Absorption of planar waves in conformal gravity space–time

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Abstract

Conformal gravity (CG) has attracted considerable interest as a compelling alternative to general relativity. We investigate the massless scalar planar wave scattering in Mannheim–Kazanas (MK) space–time of CG theory. We give different transmission coefficient as parameter \(\gamma r_0\) and \(\kappa r_0^2\) changed. Using partial-wave method, we obtain the absorption cross section, we find for larger angular momentum quantum numbers l, the corresponding maximum values of partial absorption cross section are smaller, the smaller of \(\gamma r_0\) are, the larger the partial absorption cross section are, while parameter \(\kappa r_0^2\) display the inverse situation.

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Acknowledgements

This project is supported by Special Fund of Guiyang Science and Technology Bureau (Grant No. GYU-KYZ201806-08), Science and Technology Talents Plan of the Department of Education of Guizhou Province (Grant No. KY[2016]090), the Science and Technology Foundation of Guizhou Province(Grant No. [2019]1011) and the Science and Technology Foundation of Guizhou Province (Grant No. [2018]1006).

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Authors and Affiliations

  1. College of Mechanical Engineering, Guiyang University, Guiyang, 550005, Guizhou, People’s Republic of China

    Hai Huang

  2. College of Physics and Information Science, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Juhua Chen & Yongjiu Wang

  3. Cosmic Ray Ministry of Education Key Laboratory, Tibet University, Lhasa, 850012, Tibet, People’s Republic of China

    Tongsuo Lu

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  1. Hai Huang
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  2. Juhua Chen
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Correspondence to Hai Huang.

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Huang, H., Chen, J., Wang, Y. et al. Absorption of planar waves in conformal gravity space–time. Gen Relativ Gravit 51, 22 (2019). https://doi.org/10.1007/s10714-019-2506-5

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