English

New approach to study gravitational stability of the solutions to the Einstein equations

General Relativity and Quantum Cosmology 2014-08-27 v2

Abstract

Here we propose a new method to study gravitational stability of the solutions to the Einstein equations. This method uses the canonical superenergy density and it is different from approaches already used (Lyapunov's stability, dynamical systems). Our method is very alike to the procedure of finding the stable minima of the interior energy U for a dynamical system.

Keywords

Cite

@article{arxiv.1406.5883,
  title  = {New approach to study gravitational stability of the solutions to the Einstein equations},
  author = {Janusz Garecki},
  journal= {arXiv preprint arXiv:1406.5883},
  year   = {2014}
}

Comments

Revtex 4, 8 pages, no figures. Improved version (Version 2) of the manuscript 1406.5883. Submitted to Acta Physica Polonica B. arXiv admin note: substantial text overlap with arXiv:1306.5121, arXiv:1209.4807