The claimed star solution is a spatially flat FLRW universe whose scale factor grows like sqrt(cosh(2kt)); its late-time de Sitter phase has Lambda=3k^2, not k^2.
Foundations of Quantum Mechanics
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On a star with expanding isotropic fluid
The claimed star solution is a spatially flat FLRW universe whose scale factor grows like sqrt(cosh(2kt)); its late-time de Sitter phase has Lambda=3k^2, not k^2.