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Kiselev black holes in f(R, T) gravity

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Abstract

We obtain new exact solutions for the gravitational field equations in the context of f(R, T) gravity, thereby obtaining different classes of black holes surrounded by fluids, taking into account some specific values of the parameter of the equations of state, w. In order to obtain these solutions in the context of f(R, T) gravity, we consider viable particular choices of the f(R, T). Considering an anisotropic energy-momentum tensor, we write the field equations with the required symmetries for this type of solution. Then, we analyze the conditions of energy in a general way and also for particular values of the parameter w of the equation of state. In addition, thermodynamic quantities, such as Hawking temperature and mass associated to the horizons of solutions, are taken into account in our analysis.

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Acknowledgements

L. C. N. S. would like to thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) for partial financial support through the research Project No. 164762/2020-5. I. P. L. was partially supported by the National Council for Scientific and Technological Development - CNPq grant 306414/2020-1 and by the grant 3197/2021, Paraíba State Research Foundation (FAPESQ). I. P. L. would like to acknowledge the contribution of the COST Action CA18108. F. M. S. would like to thank FAPESC/CNPq for financial support under grant 150721/2023-4. V. B. B. is partially supported by CNPq through the Research Project No. 307211/2020-7.

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Authors and Affiliations

  1. Departamento de Física, CCEN–Universidade Federal da Paraíba, C.P. 5008, CEP 58.051-970, João Pessoa, PB, Brazil

    L. C. N. Santos & V. B. Bezerra

  2. Departamento de Física, CFM–Universidade Federal de Santa Catarina, C.P. 476, CEP 88.040-900, Florianópolis, SC, Brazil

    F. M. da Silva & C. E. Mota

  3. Department of Chemistry and Physics, Federal University of Paraíba, Rodovia BR 079 - Km 12, 58397-000, Areia, PB, Brazil

    I. P. Lobo

  4. Physics Department, Federal University of Lavras, Caixa Postal 3037, 37200-000, Lavras, MG, Brazil

    I. P. Lobo

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  1. L. C. N. Santos
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Contributions

L. C. N. Santos, F. M. da Silva, C. E. Mota, I. P. Lobo, V. B. Bezerra: Conceptualization, Methodology L. C. N. Santos, F. M. da Silva, C. E. Mota, I. P. Lobo, V. B. Bezerra: Data curation, Writing- Original draft preparation L. C. N. Santos, F. M. da Silva, C. E. Mota, I. P. Lobo, V. B. Bezerra: Visualization, Investigation L. C. N. Santos, F. M. da Silva, C. E. Mota, I. P. Lobo, V. B. Bezerra: Software, Validation L. C. N. Santos, F. M. da Silva, C. E. Mota, I. P. Lobo, V. B. Bezerra: Writing- Reviewing and Editing V. B. Bezerra: Supervision

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Correspondence to L. C. N. Santos.

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Santos, L.C.N., da Silva, F.M., Mota, C.E. et al. Kiselev black holes in f(R, T) gravity. Gen Relativ Gravit 55, 94 (2023). https://doi.org/10.1007/s10714-023-03138-z

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