Abstract
We consider the equilibrium configurations for static spherically symmetric self-gravitating perfect fluids in general relativity. The fluid obeys an equation of state which is the extreme limit allowed by Hawking's strong energy condition. The new solutions we have found are generalized Einstein static universes which have a Killing horizon similar to the one we are familiar with from the vacuum Schwarzschild solution.
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Ibrahim, A., Nutku, Y. Generalized Einstein static universe. Gen Relat Gravit 7, 949–958 (1976). https://doi.org/10.1007/BF00766420
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DOI: https://doi.org/10.1007/BF00766420