Abstract
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.
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This essay received an honorable mention from the Gravity Research Foundation for the year 1981-Ed.
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Hall, G.S. Energy conditions and stability in general relativity. Gen Relat Gravit 14, 1035–1041 (1982). https://doi.org/10.1007/BF00756285
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DOI: https://doi.org/10.1007/BF00756285