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2022•RESEARCH JOURNAL OF PURE SCIENCE AND TECHNOLOGYOpen access

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

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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 R_μν. Results obtained were compared with the Ricci Curvature Tensor R_μν derived from the well-known Schwarzschild metric tensor. It was found that, at r→0, the Ricci Curvature Tensor for both metric tensors were different but behaved the same, as r→∞,

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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 R_μν. Results obtained were compared with the Ricci Curvature Tensor R_μν derived from the well-known Schwarzschild metric tensor. It was found that, at r→0, the Ricci Curvature Tensor for both metric tensors were different but behaved the same, as r→∞,

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Available 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 R_μν. Results obtained were compared with the Ricci Curvature Tensor R_μν derived from the well-known Schwarzschild metric tensor. It was found that, at r→0, the Ricci Curvature Tensor for both metric tensors were different but behaved the same, as r→∞,

Key concepts: Ricci decomposition, Ricci curvature, Metric tensor, Riemann curvature tensor, Einstein tensor, Weyl tensor, Lanczos tensor, Mathematical physics

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The Relationship between Howusu and Schwarzschild Metric Tensors in Deriving Ricci Curvature Tensor for All Gravitational Fields in Nature — Research Paper | ScholarLens