Maximum bounds on the surface redshift of anisotropic stars
B.V.Ivanov
TL;DR
This paper establishes upper limits on the surface redshift of anisotropic stars, showing they can exceed the perfect fluid bound under certain energy conditions, with specific maximum values derived.
Contribution
It provides new theoretical bounds on surface redshift for anisotropic stars, extending previous limits known for perfect fluid models.
Findings
Maximum surface redshift is 3.842 under strong energy condition.
Maximum surface redshift is 5.211 under dominant energy condition.
These bounds are higher than the perfect fluid case value of 2.
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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