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Geodesics of Hayward black hole surrounded by quintessence

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Abstract

Basing on the ideas used by Kiselev, we study the Hayward black hole surrounded by quintessence. The values critical of mass and the normalization factor are obtained. We also described the horizons and the extremal condition of the Hayward black hole surrounded by quintessence. By setting for the quintessence state parameter at the particular case of \(\omega =-\frac{2}{3}\), we study the effective potential, and we analyzed in detail the null geodesics for different energies as well as the behavior of horizons. Finally, the shadow of the black hole is explored.

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Acknowledgements

The authors acknowledge the financial support from PROMEP project UAEH-CA-108 and SNI-CONACYT, México.

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Authors and Affiliations

  1. Área Académica de Matemáticas y Física, UAEH, Carretera Pachuca-Tulancingo Km. 4.5, C P. 42184, Mineral de la Reforma, Hidalgo, Mexico

    Omar Pedraza & L. A. López

  2. Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, C. P. 29050, Tuxtla Gutiérrez, Chiapas, Mexico

    R. Arceo

  3. Departamento de Física y Matemáticas, Universidad Autónoma de Ciudad Juárez, 32310, Ciudad Juárez, Chihuahua, Mexico

    I. Cabrera-Munguia

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  1. Omar Pedraza
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  2. L. A. López
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  3. R. Arceo
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  4. I. Cabrera-Munguia
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Correspondence to L. A. López.

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Pedraza, O., López, L.A., Arceo, R. et al. Geodesics of Hayward black hole surrounded by quintessence. Gen Relativ Gravit 53, 24 (2021). https://doi.org/10.1007/s10714-021-02798-z

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