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A new solution of embedding class I representing anisotropic fluid sphere in general relativity

2016; World Scientific; Volume: 25; Issue: 14 Linguagem: Inglês

10.1142/s0218271816500991

1793-6594

Ksh. Newton Singh, Piyali Bhar, Neeraj Pant,

Geophysics and Gravity Measurements

In this paper, we are willing to develop a model of an anisotropic star by choosing a new [Formula: see text] metric potential. All the physical parameters like the matter density, radial and transverse pressure are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of this paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 [Formula: see text] and radius[Formula: see text]=[Formula: see text]6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.