Brief ReviewNo Access

Covariant singularities: A brief review

Iberê Kuntz

Departamento de Física, Universidade Federal do Paraná, P. O. Box 19044, Curitiba – PR 81531-980, Brazil

E-mail Address: kuntz@fisica.ufpr.br

Corresponding author.

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Roberto Casadio

Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126 Bologna, Italy

Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, I.S. FLAG viale Berti Pichat 6/2, 40127 Bologna, Italy

E-mail Address: casadio@bo.infn.it

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Alexander Kamenshchik

Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126 Bologna, Italy

Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, I.S. FLAG viale Berti Pichat 6/2, 40127 Bologna, Italy

L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, 119334 Moscow, Russia

E-mail Address: kamenshchik@bo.infn.it

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https://doi.org/10.1142/S0217732322300075Cited by:4 (Source: Crossref)

Abstract

The Hawking–Penrose theorem is not covariant under field redefinitions. Should the invariance under such transformations be a true principle in nature, spacetime singularities become dubious objects. We here review the concept of covariant singularities, that is, singularities that are invariant under both spacetime diffeomorphisms and field redefinitions.

Keywords:

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