General Relativity and Gravitation

, Volume 18, Issue 1, pp 93–103 | Cite as

A new class of interior solutions for a stress-energy tensor of Segré characteristic [111, 1]

  • T. Biech
  • A. Das
Research Articles

Abstract

The interior solutions of (the tetrad versions of) Einstein's field equations withT AB having Segré characteristic [111, 1] (which has all four eigenvalues distinct), are investigated. For this purpose amixed method, which combines Synge'sg method andT method, is introduced. Some of the tetrad equations are solved for the metric functions while the remaining equations are used to define the corresponding components ofT AB . As necessary conditions of the consistency of the mixed method the conservation equationsT AB B =0 are explicitly verified. Several simplifications and analysis of some differential inequalities show the existence of a new class of solutions which, in addition to having Segré characteristic [111, 1], also satisfy the strong energy conditions of Hawking and Ellis.

Keywords

Energy Condition Differential Geometry Mixed Method Interior Solution Differential Inequality 

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • T. Biech
    • 1
  • A. Das
    • 1
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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