Energy conditions and stability in general relativity
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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.
KeywordsEnergy Density General Relativity Energy Condition Differential Geometry Energy Flow
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