Anisotropic compact star with a linear pressure-density relationship

Bikram Keshari Parida; Koushik Chakraborty; Saibal Ray; Shyam Das

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arxiv 2201.10772 v1 pith:P7CUAYYM submitted 2022-01-26 gr-qc

Anisotropic compact star with a linear pressure-density relationship

Shyam Das , Bikram Keshari Parida , Koushik Chakraborty , Saibal Ray This is my paper

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keywords modelcompactstaranisotropicanisotropystabilityvaluesanalysis

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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.

Anisotropic compact star with a linear pressure-density relationship

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