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Black holes and wormholes subject to conformal mappings

Valerio Faraoni1,*, Angus Prain3,†, and Andres F. Zambrano Moreno1,2,‡

  • 1Physics Department, Bishop’s University, Sherbrooke, Québec, Canada J1M 1Z7
  • 2Department of Physics and Astronomy, University of Calgary, Alberta, Canada T2N 1N4
  • 3School of Engineering and Physical Sciences, Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom

  • *vfaraoni@ubishops.ca
  • †a.prain@hw.ac.uk
  • ‡andres.zambranomoren@ucalgary.ca
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Phys. Rev. D 93, 024005 – Published 7 January, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.024005

Abstract

Solutions of the field equations of theories of gravity which admit distinct conformal frame representations can look very different in these frames. We show that Brans class IV solutions describe wormholes in the Jordan frame (in a certain parameter range) but correspond to horizonless geometries in the Einstein frame. The reasons for such a change of behavior under conformal mappings are elucidated in general, using Brans IV solutions as an example. We end with a brief discussion of the Schwarzschild case and a conformally related metric as a further example of some of the peculiarities of the behavior of horizons under conformal transformations.

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Phys. Rev. D 93, 024005– Published 7 January, 2016
  • Received 23 September 2015

© 2016 American Physical Society

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