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A Solution-Generating Method in Einstein-Scalar Gravity

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Abstract

We present a method to generate static, spherically symmetric, solutions of Einstein gravity in \(d+2\) dimensions minimally coupled to a real scalar field with a self-interacting potential. The solutions can be fully parametrised by a single function, whose behaviour encodes all the information about the local and global behaviour of the spacetime. We give several explicit applications of our solution-generating method that describe black holes, naked singularities and solitonic configurations.

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Notes

  1. The Riccati equation is an ordinary differential equation in the form \(y'+p_{1}y+p_{2}y^{2}=q\) where \(p_{1}\), \(p_{2}\neq0\) and \(q\neq0\) are functions of the independent variable.

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Acknowledgements

EF is partially supported by the Spanish MINECO under projects FPA2016-76005-C2-C-P and MDM-2014-0369 of ICCUB (Unidad de Excelencia “María de Maeztu”), and by AGAUR grant 2017-SGR-754.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Cagliari & INFN, Sezione di Cagliari, Cittadella Universitaria, 09042, Monserrato, Italy

    Mariano Cadoni, Edgardo Franzin & Matteo Tuveri

  2. Departament de Física Quàntica i Astrofísica, Institut de Ciènces del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain

    Edgardo Franzin

  3. Dipartimento di Fisica, Università di Cagliari, Cittadella Universitaria, 09042, Monserrato, Italy

    Federico Masella

Authors
  1. Mariano Cadoni
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  2. Edgardo Franzin
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  3. Federico Masella
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  4. Matteo Tuveri
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Correspondence to Mariano Cadoni.

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Cadoni, M., Franzin, E., Masella, F. et al. A Solution-Generating Method in Einstein-Scalar Gravity. Acta Appl Math 162, 33–45 (2019). https://doi.org/10.1007/s10440-018-00232-2

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