Static fluid spheres admitting Karmarkar condition |
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Authors: | KshNewton Singh Ravindra KBisht SKMaurya Neeraj Pant |
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Institution: | 1. Department of Physics, National Defence Academy, Khadakwasla, Pune- 411023, India and Department of Mathematics, Jadavpur University, Kolkata- 700032, India2. Department of Mathematics, National Defence Academy, Khadakwasla, Pune- 411023, India3. Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman4. Department of Mathematics, National Defence Academy, Khadakwasla, Pune- 411023, India |
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Abstract: | We explore a new relativistic anisotropic solution of the Einstein field equations for compact stars based on embedding class one condition. For this purpose, we use the embedding class one methodology by employing the Karmarkar condition. Employing this methodology, we obtain a particular differential equation that connects both the gravitational potentials e λ and e ν. We solve this particular differential equation choosing a simple form of generalized gravitational potential grr After determining this space-time geometry for the stellar models, we discuss thermodynamical observables including radial and tangential pressures, matter density, red-shift, velocity of sound, etc., in the stellar models. We also perform a complete graphical analysis, which shows that our models satisfy all the physical and mathematical requirements of ultra-high dense collapsed structures. Further, we discuss the moment of inertia and M-R curve for rotating and non-rotating stars. |
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Keywords: | Karmarkar’s condition exact solutions compact star general relativity |
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