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A new model for dark matter fluid sphere

Shyam Das

Department of Physics, P. D. Women’s College, Jalpaiguri 735101, West Bengal, India

E-mail Address: dasshyam321@gmail.com

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Nayan Sarkar

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

Department of Mathematics, Karimpur Pannadevi College, Karimpur 741152, Nadia, West Bengal, India

E-mail Address: nayan.mathju@gmail.com

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Monimala Mondal

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: monimala.mondal88@gmail.com

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, and

Farook Rahaman

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: rahaman@associates.iucaa.in

Corresponding author.

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https://doi.org/10.1142/S0217732320502806Cited by:7 (Source: Crossref)

Abstract

We develop a new model for a spherically symmetric dark matter fluid sphere containing two regions: (i) Isotropic inner region with constant density and (ii) Anisotropic outer region. We solve the system of field equation by assuming a particular density profile along with a linear equation of state. The obtained solutions are well-behaved and physically acceptable which represent equilibrium and stable matter configuration by satisfying the Tolman–Oppenheimer–Volkoff (TOV) equation and causality condition, condition on adiabatic index, Harrison–Zeldovich–Novikov criterion, respectively. We consider the compact star EXO 1785-248 (Mass $M = 1.3 M_{⊙}$ and radius R $=$ 8.8 km) to analyze our solutions by graphical demonstrations.

Keywords:

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