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The Metric of Space-Time Curvature in a Weak Gravitational Field and it’s Consequence in Newtonian Approximation


Md. Ashik Iqbal1*, Al Mahmud Al Mamun2, Md.  Rasel Hossain3, and Md. Kamrul Hassan2


1Dept. of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh, 2Dept. of Computer Science and Engineering, Islamic University, Bangladesh; and 3Dept. of Statistics, Noakhali Science and Technology University, Noakhali, Bangladesh. 

*Correspondence: ashikiqbalmath@gmail.com (Md. Ashik Iqbal, Dept. of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh).

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ABSTRACT

In Newtonian mechanics, space and time are separate but in General, Relativity is unified. It is considered that the space in the weak-field approximation is quasi-static and it arises from a perfect field whose particles have very small velocity in comparison to light velocity in this coordinate system and the metric is a gravitational potential tensor of rank two which implies the field of empty space. If each point of an area in N-dimensional space there existed a corresponding definite tensor, where the components of the tensor are the function of space and space acts as the strong or weak gravitational field.


Keywords: Minkowskian metric, Gravitational field, Space-time metric, Geodesic equation, and Manifolds.


Citation: Iqbal MA, Mamun AMA, Hossain MR, and Hassan MK. (2020). The metric of space-time curvature in a weak gravitational field and its consequence in Newtonian approximation, Int. J. Mat. Math. Sci., 2(5), 87-92. https://doi.org/10.34104/ijmms.020.087092


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