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Scale-dependent planar anti-de Sitter black hole

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Abstract.

In this work, we investigate four-dimensional planar black-hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario. To obtain this new family of solutions, the classical couplings of the theory, i.e., the gravitational coupling G0 and the cosmological constant \( \Lambda_{0}\), are not taken to be fixed values anymore. Thus, those classical parameters evolve to functions which change along the “height” coordinate, z . The effective Einstein field equations are solved, and the results are analyzed and compared with the classical counterpart. Finally, some thermodynamic properties of the presented scale-dependent black hole are investigated.

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Authors and Affiliations

  1. Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, 4059, Valparaiso, Chile

    Ángel Rincón

  2. School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador

    Ernesto Contreras

  3. Departamento de Física, Universidad de los Andes, Cra.1E No.18A-10, Bogotá, Colombia

    Pedro Bargueño

  4. Instituto de Física, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna, 4860, Santiago, Chile

    Benjamin Koch

  5. Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040, Vienna, Austria

    Benjamin Koch

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  1. Ángel Rincón
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  2. Ernesto Contreras
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  3. Pedro Bargueño
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  4. Benjamin Koch
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Correspondence to Ángel Rincón.

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Rincón, Á., Contreras, E., Bargueño, P. et al. Scale-dependent planar anti-de Sitter black hole. Eur. Phys. J. Plus 134, 557 (2019). https://doi.org/10.1140/epjp/i2019-13081-5

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