A study of some new solutions of Einstein and Einstein-Maxwell equations
Date
1979
Authors
Zannias, Thomas Themistokleous
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this thesis we deal with static axially symmetric gravitational fields in vacuum and with static axially symmetric electrovacuum. The formalism of Weyl-Levi-Civita has been employed for obtaining solutions of Einstein's and Einstein-Maxwell equations. A solution representing the exterior field of a Curzon particle in combination with a general line mass is obtained. Through a suitable formalism we generate the charged metric representing a charged Curzon particle and a charged general line mass. We also examine some properties of the Bach and Weyl metric. Further we derive solutions of Einstein field equations representing point sources exhibiting multipole structure. Special cases of balance between multipole point sources in the general theory of relativity are also examined.