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The Relationship between Howusu and Schwarzschild Metric Tensors in Deriving Ricci Curvature Tensor for All Gravitational Fields in Nature

V. O. Obaje, K.O. Emeje & I. Ochala

Abstract

The Howusu metric tensor which was said to describe the gravitational field for all gravitational fields in nature was used to derive the Ricci Curvature Tensor . Results obtained were compared with the Ricci Curvature Tensor derived from the well-known Schwarzschild metric tensor. It was found that, at , the Ricci Curvature Tensor for both metric tensors were different but behaved the same, as ,

Keywords

Ricci Curvature TensorHowusu Metric TensorSchwarzschild Metric Tensor.

References

Abalaka, V.O.; Ekpe O.E. (2021). A Comparative Study of the Schwarzschild Metric Tensor and the Howusu Metric Tensor using the Radial Distance Parameter as Measuring Index. Ph.D. Thesis, Department of Physics, Prince Abubakar University Anyigba, Nigeria. Pp 55-56 Howusu, S.X.K. (2012) The Super Golden Metric tensors in orthogonal curvilinear coordinates. Jos University press, Jos, Nigeria. Pp 1-2 Kumar, A. (2009). General Relativity and Solutions to Einstein Field Equations. Department of Physics and Astronomy, Bates College Lewiston USA. Pp 35-43 Obaje, V.O.; Ekpe O. E. (26/11/2020). On a New Set of Christoffel Symbols Derived from Howusu Metric Tensor.”10 th Annual National Conference of the Astronomical Society of Nigeria (ASN) 2020”, Nsukka, Nigeria. Obaje, V.O.; Ekpe O.E. (2021). Deriving the Riemmanian Curvature Tensor through Howusu Metric. Transactions of the Nigerian Association of Mathematical Physics 14: 33-36

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