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Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity

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Abstract

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical, planar and hyperbolic symmetries with the presence of the cosmological constant. Besides, we show that several known black hole solutions in literature such as those for linear Maxwell theory and BTZ black hole can be obtained as special cases. The implications of Rastall’s theory related to the present study and the thermodynamics of the black hole solutions are discussed.

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Acknowledgements

We are thankful for valuable discussions with Alan B. Pavan. We gratefully acknowledge the financial support from Brazilian funding agencies Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), and National Natural Science Foundation of China (NNSFC) under contract No. 11805166.

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Authors and Affiliations

  1. Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, Hubei, China

    Kai Lin

  2. Escola de Engenharia de Lorena, Universidade de São Paulo, Lorena, SP, 12602-810, Brazil

    Kai Lin & Wei-Liang Qian

  3. Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China

    Yunqi Liu & Wei-Liang Qian

  4. Faculdade de Engenharia de Guaratinguetá, Universidade Estadual Paulista, Guaratinguetá, SP, 12516-410, Brazil

    Wei-Liang Qian

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  1. Kai Lin
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  2. Yunqi Liu
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  3. Wei-Liang Qian
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Correspondence to Wei-Liang Qian.

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Lin, K., Liu, Y. & Qian, WL. Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity. Gen Relativ Gravit 51, 62 (2019). https://doi.org/10.1007/s10714-019-2548-8

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