A new covariant formulation of radial perturbations for imperfect fluids in GR yields a causality-imposed upper bound on the compactness of stable anisotropic stars.
Generating anisotropic models for relativistic stellar objects
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abstract
We introduce a new type of generating theorems in General Relativity for anisotropic, static, spherically symmetric solutions of the Einstein field equations. The results are used to derive a class of solutions that can serve as new models for the interiors of compact stars. Their geometric and thermodynamic properties are studied in detail, and we show that some of the new spacetimes contain, as particular cases, other well-known solutions. Focusing on a constant-density solution, we assess the relevance of the newly found geometry as a candidate for the incompressible limit of anisotropic compact stellar objects, comparing its features with those of the Bowers-Liang spacetime.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Radial adiabatic perturbations of stellar compact objects
A new covariant formulation of radial perturbations for imperfect fluids in GR yields a causality-imposed upper bound on the compactness of stable anisotropic stars.