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Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field

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Abstract

We present a generalization of the black hole solution with spherical symmetry already known in the literature for N-dimensional F(R) gravity with a conformally invariant Maxwell field and constant scalar curvature R. This solution also includes a generalization of the one corresponding to general relativity as a special case. We introduce the formalism for the construction of a broad family of spherically symmetric thin shells in F(R) theory. We use our generalized solutions in order to provide examples of bubbles and thin layers of matter surrounding black holes. We analyze the stability of the constructions under perturbations preserving the symmetry, finding that stable configurations are possible for suitable values of the parameters. We show that the extension to higher dimensions does not alter the qualitative behavior of the thin shells found in four dimensions, with the main difference being a change of scale for the different values of N.

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Data availability

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical work in which no experimental data have been used.]

Notes

  1. Note that from Eq. (11) one obtains that \(\Lambda _e = \Lambda \).

  2. Note that in this case is \(T_{\hat{t}\hat{t}}<0\), but our solution also allows to adopt \(\alpha =1\), so that \(T_{\hat{t}\hat{t}}>0\).

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Acknowledgements

This work has been supported by CONICET and Universidad de Buenos Aires.

Funding

Funding was provided by Consejo Nacional de Investigaciones Científicas y Técnicas and Universidad de Buenos Aires.

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Authors and Affiliations

  1. Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina

    Ernesto F. Eiroa & Griselda Figueroa-Aguirre

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  1. Ernesto F. Eiroa
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  2. Griselda Figueroa-Aguirre
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Correspondence to Ernesto F. Eiroa.

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Eiroa, E.F., Figueroa-Aguirre, G. Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field. Eur. Phys. J. Plus 137, 478 (2022). https://doi.org/10.1140/epjp/s13360-022-02676-w

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