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Stealths on \((1+1)\)-dimensional dilatonic gravity

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Abstract

We study gravitational stealth configurations emerging on a charged dilatonic \((1+1)\)-D black hole spacetime. We accomplish this by considering the coupling of a non-minimally scalar field \(\phi \) and a self-interacting scalar field \(\varPsi \) living in a \((1+1)\)-D charged black hole background. In addition, the self-interacting potential for \(\varPsi \) is obtained which exhibits transitions for some specific values of the non-minimal parameter. Atypically, we found that the solutions for these stealth scalar fields do not have a dependence on the temporal coordinate.

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Acknowledgements

The authors acknowledge to Eloy Ayón-Beato for enlightening discussions. AA acknowledges pasrtial support by CONACyT Grant Estancias Posdoctorales Vinculadas al Fortalecimiento de Calidad del Posgrado Nacional 2016-1. AA, CC and ER acknowledges partial support by CONACyT Grant CB-2012-177519-F and grant PROMEP, CA-UV, Álgebra, Geometría and Gravitación. CC also acknowledges CONACyT Grant I0010-2014-02 Estancias Internacionales-233618-C. MC is being supported by CONACYT- México through grant Repatriaciones 2015-04. JS thank the hospitality of Facultad de Física Universidad Veracruzana. This work was partially supported by SNI (México).

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Authors and Affiliations

  1. Facultad de Física, Universidad Veracruzana, 91000, Xalapa, VER, Mexico

    Abigail Alvarez, Cuauhtemoc Campuzano, Miguel Cruz & Efraín Rojas

  2. Instituto de Física, Pontificia Universidad Católica de Valparaíso, 4950, Casilla, Valparaíso, Chile

    Joel Saavedra

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  1. Abigail Alvarez
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  2. Cuauhtemoc Campuzano
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  3. Miguel Cruz
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  4. Efraín Rojas
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  5. Joel Saavedra
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Correspondence to Cuauhtemoc Campuzano.

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Alvarez, A., Campuzano, C., Cruz, M. et al. Stealths on \((1+1)\)-dimensional dilatonic gravity. Gen Relativ Gravit 48, 165 (2016). https://doi.org/10.1007/s10714-016-2158-7

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