Abstract
In this paper we have studied the behavior of static spherically symmetric relativistic objects with locally anisotropic matter distribution considering the Tolman VII form for the gravitational potential \(g_{rr}\) in curvature coordinates together with the linear relation between the energy density and the radial pressure. The interior spacetime has been matched continuously to the exterior Schwarzschild geometry. We have investigated and analyzed different physical properties of the stellar model and presented graphically.
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Notes
Throughout the work we will use \(c=G=1\), except in figures.
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Acknowledgements
One of the authors (M.H. Murad) is greatly indebted to his wife S. Fatema, Department of Natural Sciences, Faculty of Science and Information Technology, Daffodil International University, Dhaka, Bangladesh, for her inspirations and continuous support.
Authors are also thankful to the referee(s) for making constructive comments and drawing authors’ attention to the work Chan et al. (1993) and Herrera et al. (2008).
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Bhar, P., Murad, M.H. & Pant, N. Relativistic anisotropic stellar models with Tolman VII spacetime. Astrophys Space Sci 359, 13 (2015). https://doi.org/10.1007/s10509-015-2462-9
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DOI: https://doi.org/10.1007/s10509-015-2462-9