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.
Taking the dot-derivative, we find 16ζBL 3ϕ3 (µ+p+ Π) (µ+ 3p+ 3Π)F−16ζBL 3ϕ2 (µ+ 2p+ 2Π)m −16ζBL 3ϕ2 (2µ+ 3p+ 3Π)p− [ 16ζBL 3ϕ2 (2µ+ 3p+ 3Π) + 1 ] P= 0
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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.