Explicit bilayered and thin-shell GR models show that relaxing monotonic density or isotropy lets compactness approach Bondi's bound or even the black hole limit.
Maximum bounds on the surface redshift of anisotropic stars
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abstract
It is shown that for realistic anisotropic star models the surface redshift can not exceed the values 3.842 or 5.211 when the tangential pressure satisfies the strong or the dominant energy condition respectively. Both values are higher than 2, the bound in the perfect fluid case.
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2024 1verdicts
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Beyond Buchdahl's limit: bilayered stars and thin-shell configurations
Explicit bilayered and thin-shell GR models show that relaxing monotonic density or isotropy lets compactness approach Bondi's bound or even the black hole limit.