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Home  >  Transactions of NAMP VOL 14

6. DERIVING THE RIEMMANIAN CURVATURE TENSOR THROUGH HOWUSU METRIC by Obaje V.O. and Ekpe O.E Volume 14, (January - March, 2021 Issue)
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DERIVING THE RIEMMANIAN CURVATURE TENSOR THROUGH HOWUSU METRIC

1Obaje V.O. and 2Ekpe O.E

1Department of Physics, Kogi State University, Anyigba, Kogi State.

2Department of Physics, Michael Okpara University of Agriculture, Umudike, Abia State.

Abstract

The Howusu metric tensor was used to derive the Riemmanian Curvature Tensor R_μαν^α. Results obtained were compared with the Riemmanian Curvature Tensor R_μαν^α derived from the Schwarzschild metric tensor. It was found that, at  r→0, the Riemannian Curvature Tensors for both metric tensors were different except for R_010^1 where they were the same. Also, as  r→∞, it was found the Riemannian Curvature Tensor were the same for both metric tensors except for R_212^1 and R_323^2 derived from the Howusu metric tensor.

Keywords: Riemannian Curvature Tensor, Howusu Metric Tensor, Schwarzschild Metric Tensor

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