General Relativity and Gravitation

, Volume 14, Issue 11, pp 1035–1041 | Cite as

Energy conditions and stability in general relativity

  • G. S. Hall
Research Articles


The dominant energy condition in general relativity theory, which says that every observer measures a nonnegative local energy density and a nonspacelike local energy flow, is examined in connection with the types of energy-momentum tensor it permits. The condition that the energy-momentum tensor be “stable” in obeying the dominant energy condition is then defined in terms of a suitable topology on the set of energy-momentum tensors on space-time and the consequences are evaluated and discussed.


Energy Density General Relativity Energy Condition Differential Geometry Energy Flow 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • G. S. Hall
    • 1
  1. 1.Department of MathematicsUniversity of AberdeenAberdeenScotland

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