Indian Journal of Science and Technology
Year: 2021, Volume: 14, Issue: 36, Pages: 2826-2831
Original Article
Prasenjit Debnath1*, Ngangbam Ishwarchandra1
1The Department of Physics, National Institute of Technology Agartala, Barjala, Jirania, PO –NIT Agartala, 799046, Tripura, India. Tel.: +91 - 7085709227
*Corresponding Author
Email: [email protected]
Tel: +91 - 7085709227
Received Date:19 May 2021, Accepted Date:15 September 2021, Published Date:03 November 2021
Objectives: To study the energy conditions of the universe and to find unique solutions of the Einstein’s field equations. Methods: A mathematical formulation developed to study the energy conditions of the universe and a new way of unique solutions of the famous Einstein’s field equations with appropriate theoretical and mathematical analysis of the theory of general relativity. Findings: With the reference to the power series expansion of the mass function ˆM(u; r) developed by Wang and Wu (1999), we have derived two new ways to solve Einstein’s field equations by introducing new values of n as n=2 and n=-2. Novelty: With the reference to the power series expansion of the mass function ˆM(u; r), we have found new ways to solve Einstein’s field equations with n=2 and n=-2. And we have derived a total of four new solutions of the Einstein’s field equations. And the solutions are very innovative and different from (i) Schwarzschild solution and (ii) de Sitter solution. The solutions own (i) the first solution with the line element in the equation (11) describes a stationary solution. It has coordinate singularity at r = (2m)1 . (ii) The second solution with the line element in the equation (14) will be reduced to those Schwarzschild black holes when m=0 with singularities at r=2M. Also, it will be that dark energy when M=0 with singularities at r = (2m)1 . (iii) The third solution with the line element in the equation (17) describes a stationary solution. It has coordinate singularity at r = (2m)13 (iv) The fourth solution with the line element in the equation (20) describes a stationary solution. It has coordinate singularity at r = (2m)13.
Keywords: The Mass Function; Schwarzschild Solution; Einstein’s Field Equation; The Theory of General Relativity; Space - time Curvature
© 2021 Debnath & Ishwarchandra. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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