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Could the black hole singularity be a field singularity?

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Guillem Domènech
  • Atsushi Naruko
  • Misao Sasaki
  • Christof Wetterich

External Research Organisations

  • Heidelberg University

Details

Original languageEnglish
Article number2050026
JournalInternational Journal of Modern Physics D
Volume29
Issue number3
Publication statusPublished - Feb 2020
Externally publishedYes

Abstract

In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric spacetimes with a nontrivial scalar field. In particular, we study solutions that have a singularity in a given frame, while the action is regular. We ask if there exists a different choice of field variables such that the geometry and the fields are regular. We find that in some cases disformal transformations can remove a singularity from the geometry or introduce a new horizon. This is possible since the Weyl tensor is not invariant under a general disformal transformation. There exists a class of metrics which can be brought to Minkowksi geometry by a disformal transformation, which may be called disformally flat metrics. We investigate three concrete examples from massless scalar fields to Horndeski theory for which the singularity can be removed from the geometry. This might indicate that no physical singularity is present. We also propose a disformal invariant tensor.

Keywords

    General relativity, black hole singularity, scalar hair, scalar-tensor theory

ASJC Scopus subject areas

Cite this

Could the black hole singularity be a field singularity? / Domènech, Guillem; Naruko, Atsushi; Sasaki, Misao et al.
In: International Journal of Modern Physics D, Vol. 29, No. 3, 2050026, 02.2020.

Research output: Contribution to journal › Article › Research › peer review

Domènech, G., Naruko, A., Sasaki, M., & Wetterich, C. (2020). Could the black hole singularity be a field singularity? International Journal of Modern Physics D, 29(3), Article 2050026. https://doi.org/10.1142/S0218271820500261
Domènech G, Naruko A, Sasaki M, Wetterich C. Could the black hole singularity be a field singularity? International Journal of Modern Physics D. 2020 Feb;29(3):2050026. doi: 10.1142/S0218271820500261
Domènech, Guillem ; Naruko, Atsushi ; Sasaki, Misao et al. / Could the black hole singularity be a field singularity?. In: International Journal of Modern Physics D. 2020 ; Vol. 29, No. 3.
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