Conformally symmetric relativistic star

We investigate whether compact stars having Tolman-like interior geometry admit conformal symmetry. Taking anisotropic pressure along the two principal directions within the compact object, we obtain physically relevant quantities such as transverse and radial pressure, density and redshift function...

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Bibliographic Details
Published in:arXiv.org 2016-07
Main Authors: Rahaman, Farook, Maharaj, Sunil D, Iftikar Hossain Sardar, Chakraborty, Koushik
Format: Article
Language:English
Subjects:
Density
Doppler effect
Equations of state
Red shift
Symmetry
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Summary:We investigate whether compact stars having Tolman-like interior geometry admit conformal symmetry. Taking anisotropic pressure along the two principal directions within the compact object, we obtain physically relevant quantities such as transverse and radial pressure, density and redshift function. We study the equation of state for the matter distribution inside the star. From the relation between pressure and density function of the constituent matter, we explore the nature and properties of the interior matter. The red shift function, compactness parameter are found to be physically reasonable. The matter inside the star satisfies the null, weak and strong energy conditions. Finally, we compare the masses and radii predicted from the model with corresponding values in some observed stars.
ISSN:2331-8422