Stability of gravitational and electromagnetic geons
Abstract
Recent work on gravitational geons is extended to examine the stability properties of gravitational and electromagnetic geon constructs. All types of geons must possess the property of regularity, selfconsistency and quasistability on a timescale much longer than the period of the comprising waves. Standard perturbation theory, modified to accommodate timeaveraged fields, is used to test the requirement of quasistability. It is found that the modified perturbation theory results in an internal inconsistency. The timescale of evolution is found to be of the same order of magnitude as the period of the comprising waves. This contradicts the requirement of slow evolution. Thus not all of the requirements for the existence of electromagnetic or gravitational geons are met though perturbation theory. From this result it cannot be concluded that an electromagnetic or a gravitational geon is a viable entity. The broader implications of the result are discussed with particular reference to the problem of gravitational energy.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 June 1999
 DOI:
 10.1088/02649381/16/6/321
 arXiv:
 arXiv:grqc/9810045
 Bibcode:
 1999CQGra..16.1889P
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 40 pages, 5 EPS figures, uses overcite.sty