Nonlinear phenomena in general relativity
Department of Physics, Sharif University of Technology, Tehran, Iran
2 School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran
* e-mail: email@example.com
Accepted: 15 March 2018
Published online: 13 April 2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018