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International Journal of Statistics and Applied Mathematics · 2022 · Vol. 7(2) · pp. 41–43
FZ Chagpar✉(University of Nairobi)G.P. Pokhariyal(University of Nairobi)SK Moindi(University of Nairobi)
Abstract
In this paper, we study the physical properties of W4- Curvature tensor and found that it does not satisfy the Bianchi differential identity even with Ricci tensor being of Codazzi type. It is further shown that Einstein field equations with Cosmological constant can be expressed with the help of W4βγ and Rainich conditions for the existence of the non-null electrovariance can also be written with the help of W4ij. Finally, it is shown that W4-flat space time signifies empty field.
Advanced Differential Geometry ResearchInertial Sensor and NavigationGeophysics and Gravity MeasurementsRiemann curvature tensorRicci curvatureMathematical physicsEinstein tensorDifferential geometryEinsteinRicci decompositionPhysicsCurvatureConstant curvature
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