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- W4211035254 abstract "We introduce a rigorous and general framework to study systematically self-gravitating elastic materials within general relativity, and apply it to investigate the existence and viability, including radial stability, of spherically symmetric elastic stars. We present the mass-radius ($Mensuremath{-}R$) diagram for various families of models, showing that elasticity contributes to increasing the maximum mass and the compactness up to $ensuremath{approx}22%$, thus supporting compact stars with mass well above two solar masses. Some of these elastic stars can reach compactness as high as $GM/({c}^{2}R)ensuremath{approx}0.35$ while remaining stable under radial perturbations and satisfying all energy conditions and subluminal wave propagation, thus being physically realizable models of stars with a light ring. We provide numerical evidence that radial instability occurs for central densities larger than that corresponding to the maximum mass, as in the perfect-fluid case. Elasticity may be a key ingredient to building consistent models of exotic ultracompact objects and black hole mimickers, and can also be relevant for a more accurate modeling of the interior of neutron stars." @default.
- W4211035254 created "2022-02-13" @default.
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- W4211035254 date "2022-02-11" @default.
- W4211035254 modified "2023-10-18" @default.
- W4211035254 title "Compact elastic objects in general relativity" @default.
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- W4211035254 doi "https://doi.org/10.1103/physrevd.105.044025" @default.
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