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Geodesic Structure of Janis-Newman-Winicour Space-time

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Abstract

In the present paper we study the geodesic structure of the Janis-Newman-Winicour(JNW) space-time which contains a strong curvature naked singularity. This metric is an extension of the Schwarzschild geometry included a massless scalar field. We find that the strength parameter μ of the scalar field takes affection on the geodesic structure of the JNW space-time. By solving the geodesic equation and analyzing the behavior of effective potential, we investigate all geodesic types of the test particle and the photon in the JNW space-time. At the same time we simulate all the geodesic orbits corresponding to the energy levels of the effective potential in the JNW space-time.

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Acknowledgments

S.Z. would like to thank Jiawei Hu for helpful discussions. This project is supported by the National Natural Science Foundation of China under Grant No.10873004, the State Key Development Program for Basic Research Program of China under Grant No.2010CB832803.

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Authors and Affiliations

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

    Sheng Zhou, Ruanjing Zhang, Juhua Chen & Yongjiu Wang

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  1. Sheng Zhou
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  2. Ruanjing Zhang
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  3. Juhua Chen
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  4. Yongjiu Wang
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Correspondence to Juhua Chen.

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Zhou, S., Zhang, R., Chen, J. et al. Geodesic Structure of Janis-Newman-Winicour Space-time. Int J Theor Phys 54, 2905–2920 (2015). https://doi.org/10.1007/s10773-015-2526-1

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