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.

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

References in corpus (17)

• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Relativistic theory of tidal Love numbers
• A class of relativistic stars with a linear equation of state
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• The role of pressure anisotropy on the maximum mass of cold compact stars
• Anisotropic Neutron Stars Modelling: Constraints in Krori-Barua Spacetime
• The effect of accretion on the measurement of neutron star mass and radius in the low-mass X-ray binary 4U 1608-52
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Effective Fluid Description of the Dark Universe
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach
• Misner-Sharp Mass in $N$-dimensional $f(R)$ Gravity
• Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions
• Tolman IV fluid sphere in bigravity

Cited by in corpus (1)

• On anisotropic two-fluid stellar objects in General Relativity