Abstract
The Einstein equation with T μυ = k μkυ + ℓ μℓυ where k, l are null is considered with spherical symmetry and staticity. The solution has a naked singularity and is not asymptotically flat. However, it may be interpreted as an envelope for any static spherical body making it more massive. Such an interpretation and some of its implications are detailed.
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Date, G. On a Static Solution of the Einstein Equation with Incoming and Outgoing Radiation. General Relativity and Gravitation 29, 953–971 (1997). https://doi.org/10.1023/A:1018864423958
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DOI: https://doi.org/10.1023/A:1018864423958