Could the black hole singularity be a field singularity?

• Verfasst von: Domènech Fuertes, Guillem [VerfasserIn]
• Verfasst von: Naruko, Atsushi [VerfasserIn]
• Verfasst von: Sasaki, Misao [VerfasserIn]
• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Could the black hole singularity be a field singularity?
• Verf.angabe: Guillem Domènech, Atsushi Naruko, Misao Sasaki and Christof Wetterich
• E-Jahr: 2020
• Jahr: 26 February 2020
• Umfang: 32 S.
• Fussnoten: Gesehen am 30.04.2020
• Titel Quelle: Enthalten in: International journal of modern physics / D
• Ort Quelle: Singapore [u.a.] : World Scientific Publ., 1992
• Jahr Quelle: 2020
• Band/Heft Quelle: 29(2020,3) Artikel-Nummer 2050026, 32 Seiten
• ISSN Quelle: 1793-6594
• DOI: doi:10.1142/S0218271820500261
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1696948983

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.