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Journal of High Energy Physics

, 2018:123 | Cite as

A novel notion of null infinity for c-boundaries and generalized black holes

  • I. P. Costa e Silva
  • J. L. Flores
  • J. HerreraEmail author
Open Access
Regular Article - Theoretical Physics

Abstract

We give new definitions of null infinity and black hole in terms of causal boundaries, applicable to any strongly causal spacetime (M, g). These are meant to extend the standard ones given in terms of conformal boundaries, and use the new definitions to prove a classic result in black hole theory for this more general context: if the null infinity is regular (i.e. well behaved in a suitable sense) and (M, g) obeys the null convergence condition, then any closed trapped surface in (M, g) has to be inside the black hole region. As an illustration of this general construction, we apply it to the class of generalized plane waves, where the conformal null infinity is not always well-defined. In particular, it is shown that (generalized) black hole regions do not exist in a large family of these spacetimes.

Keywords

Black Holes Differential and Algebraic Geometry Spacetime Singularities 

Notes

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) 2018

Authors and Affiliations

  • I. P. Costa e Silva
    • 1
  • J. L. Flores
    • 2
  • J. Herrera
    • 3
    Email author
  1. 1.Department of MathematicsUniversidade Federal de Santa CatarinaFlorianópolis-SCBrazil
  2. 2.Departamento de Álgebra, Geometría y Topología, Facultad de CienciasUniversidad de MálagaMálagaSpain
  3. 3.Departamento de Matemáticas, Edificio Albert EinsteinUniversidad de CórdobaCórdobaSpain

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