Journal of High Energy Physics

, 2019:96 | Cite as

Kerr-NUT-de Sitter as an inhomogeneous non-singular bouncing cosmology

  • Andrés AnabalónEmail author
  • Sebastian F. Bramberger
  • Jean-Luc Lehners
Open Access
Regular Article - Theoretical Physics


We present exact non-singular bounce solutions of general relativity in the presence of a positive cosmological constant and an electromagnetic field, without any exotic matter. The solutions are distinguished by being spatially inhomogeneous in one direction while they can also contain non-trivial electromagnetic field lines. The inhomogeneity may be substantial, for instance there can be one bounce in one region of the universe, and two bounces elsewhere. Since the bounces are followed by a phase of accelerated expansion, the metrics described here also permit the study of (geodesically complete) models of inflation with inhomogeneous “initial” conditions. Our solutions admit two Killing vectors, and may be re-interpreted as the pathology-free interior regions of Kerr-de Sitter black holes with non-trivial NUT charge. Remarkably enough, within this cosmological context the NUT parameter does not introduce any string singularity nor closed timelike curves but renders the geometry everywhere regular, eliminating the Big-Bang singularity by means of a bounce.


Classical Theories of Gravity Spacetime Singularities Black Holes 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Andrés Anabalón
    • 1
    Email author
  • Sebastian F. Bramberger
    • 2
  • Jean-Luc Lehners
    • 2
  1. 1.Departamento de Ciencias, Facultad de Artes LiberalesUniversidad Adolfo IbáñezViña del MarChile
  2. 2.Max-Planck-Institute for Gravitational Physics (Albert-Einstein-Institute)PotsdamGermany

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