Abstract—The current study is conducted to solve some quantities, λ, μ and ν which are functions of the radial coordinate, R and time coordinate τ, employing a centrally symmetric metric. In this study, a number of new cosmological solutions have also been calculated. The physical significance of the analysis is disscused in detailed. The results of this investigation illustrate that the centrally symmetric gravitational field with constant density automatically takes the shape of the steady state like universe.
Index Terms—Ricci tensor, general relativity, Einstein field equations, cosmology.
M. S. Hossain and M. Sahabuddin are with the Department of Arts and Sciences, Ahsanullah University of Science and Technology, Dhaka-1208,Bangladesh (e-mail: firstname.lastname@example.org)
M. A. Alim is with the Department of Mathematics, Bangladesh University of Engineering, Dhaka-1000, Bangladesh (e-mail:email@example.com)
Cite: Muhammad Sajjad Hossain, M. Sahabuddin and M. A. Alim, "Psychoanalysis of Centrally Symmetric Gravitational Field Using a Centrally Symmetric Metric," International Journal of Engineering and Technology vol. 4, no. 2, pp. 198-202, 2012.