Anisotropic compact star with a linear pressure-density relationship

Abstract

We present a model of compact astrophysical object under General Theory of Relativity using the anisotropic extension of Tolman IV solution. The anisotropy function, derived from the model, remains well behaved throughout the interior of the star. The model satisfies several necessary conditions for a physically realistic compact star. Physical viability of the model is verified specifically by plugging in the estimated parameter values of the Low Mass X-ray Binary (LMXB) candidate 4U 1608 - 52. Our stability analysis of this star, by using various criteria for stability, provide satisfactory results. In connection to anisotropy, we compute the Tidal Love Number (TLN) for the compact stellar model and compare the calculated values with existing literature.

arXiv comment18 pages, the manuscript is prepared in LaTex code. arXiv admin note: text overlap with arXiv:2102.07099

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Cited by in corpus (1)

• On anisotropic two-fluid stellar objects in General Relativity