Relativistic model for anisotropic strange stars

Journal Article · Fri Dec 15 04:00:00 EST 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.10.010· OSTI ID:22852416

Deb, Debabrata; Ray, Saibal ^[1]; Rahaman, Farook ^[2]

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1. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata 700010, West Bengal (India)
2. Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal (India)

Highlights: We find exact solutions for the Einstein field equations for anisotropic strange stars.Maximum anisotropy at the surface is an inherent property for the singularity free compact stars. Maximum value for the mass and radius is presented for the corresponding values of the bag constants. Using observed value of mass different physical parameters for the strange stars are predicted. - Abstract: In this article, we attempt to find a singularity free solution of Einstein’s field equations for compact stellar objects, precisely strange (quark) stars, considering Schwarzschild metric as the exterior spacetime. To this end, we consider that the stellar object is spherically symmetric, static and anisotropic in nature and follows the density profile given by Mak and Harko (2002) , which satisfies all the physical conditions. To investigate different properties of the ultra-dense strange stars we have employed the MIT bag model for the quark matter. Our investigation displays an interesting feature that the anisotropy of compact stars increases with the radial coordinate and attains its maximum value at the surface which seems an inherent property for the singularity free anisotropic compact stellar objects. In this connection we also perform several tests for physical features of the proposed model and show that these are reasonably acceptable within certain range. Further, we find that the model is consistent with the energy conditions and the compact stellar structure is stable with the validity of the TOV equation and Herrera cracking concept. For the masses below the maximum mass point in mass vs radius curve the typical behavior achieved within the framework of general relativity. We have calculated the maximum mass and radius of the strange stars for the three finite values of bag constant B{sub g}.

• OSTI ID: 22852416
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 387; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
BAG MODEL
EINSTEIN FIELD EQUATIONS
EQUATIONS OF STATE
EXACT SOLUTIONS
GENERAL RELATIVITY THEORY
MASS
QUARK MATTER
RELATIVISTIC RANGE
S QUARKS
SCHWARZSCHILD METRIC
SINGULARITY
SPACE-TIME
SPHERICAL CONFIGURATION
STARS
SYMMETRY