IIARD International Institute of Academic Research and Development

RESEARCH JOURNAL OF PURE SCIENCE AND TECHNOLOGY (RJPST )

E-ISSN 2579-0536
P-ISSN 2695-2696
VOL. 5 NO. 1 2022
DOI: https://doi.org/10.56201/rjpst.v5.no2.2022.pg13.18

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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

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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 . 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 Tensor, Howusu Metric Tensor, Schwarzschild Metric Tensor.

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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
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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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