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Topological static spherically symmetric vacuum solutions in gravity \(\mathcal{F }(R,G)\)

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Abstract

The Lagrangian derivation of the Equations of Motion for topological static spherically symmetric metrics in \(\mathcal{F }(R,G)\)-modified gravity is presented and the related solutions are discussed. In particular, a new topological solution for the model \(\mathcal{F }(R,G)=R+\sqrt{G}\) is found. The black hole solutions and the First Law of thermodynamic are analyzed. Furthermore, the coupling with electromagnetic field is also considered and a Maxwell solution is derived.

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Acknowledgments

L.S. thanks Dr. Roberto Di Criscienzo and Prof. Guido Cognola for help and valuable suggestions and would like to appreciate the hospitality at Eurasian National University where the work was developed.

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Authors and Affiliations

  1. Eurasian International Center for Theoretical Physics, Department of General, Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

    R. Myrzakulov & L. Sebastiani

  2. Dipartimento di Fisica, Università di Trento, Trento, Italy

    S. Zerbini

  3. Gruppo Collegato di Trento, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padua, Italy

    S. Zerbini

Authors
  1. R. Myrzakulov
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  2. L. Sebastiani
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  3. S. Zerbini
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Correspondence to L. Sebastiani.

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Myrzakulov, R., Sebastiani, L. & Zerbini, S. Topological static spherically symmetric vacuum solutions in gravity \(\mathcal{F }(R,G)\) . Gen Relativ Gravit 45, 675–690 (2013). https://doi.org/10.1007/s10714-012-1493-6

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  • DOI: https://doi.org/10.1007/s10714-012-1493-6

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