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Nonlinear phenomena in general relativity

  • Alireza Allahyari
  • Javad T. Firouzjaee
  • Reza Mansouri
Regular Article

Abstract.

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, it is necessary to study exact solutions or higher-order perturbations. Specifically, we study black hole (apparent) horizons and the cosmological event horizon formation in the perturbation theory. We emphasize that in the perturbative regime of the gravitational potential these horizons cannot form in the lower order. Studying the infinite plane metric, we show that, to capture the cosmological constant effect, we need at least a second-order expansion.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Alireza Allahyari
    • 1
    • 2
  • Javad T. Firouzjaee
    • 2
  • Reza Mansouri
    • 1
    • 2
  1. 1.Department of PhysicsSharif University of TechnologyTehranIran
  2. 2.School of AstronomyInstitute for Research in Fundamental Sciences (IPM)TehranIran

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