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Paper   IPM / Astronomy / 15593
School of Astronomy
  Title:   Nonlinear phenomena in general relativity
1.  A. Allahyari
2.  J. T. Firouzjaee
3.  R. Mansouri
  Status:   Published
  Journal: Springer
  Year:  2018
  Supported by:            ipm IPM
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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