Newtonian-Relativistic Comparisons
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To gain an intuitive insight into general relativity, it is helpful to have a heuristic correspondence between relativistic quantities and equations and their Newtonian counterparts. In this section we will list relativistic quantities with their Newtonian counterparts.
Relativistic Quantity |
Newtonian Quantity |
The Metric Tensor |
The Gravitational Potential |
Forces of Affine Connection |
The Gravitational Force |
The Affine Connections |
The Gravitational Field |
Einstein Field Equations |
The Poisson Equation |
Gradient of Affine Forces under particular circumstances, components of the Riemann tensor |
Gravitational Force Tidal gradient |
NonGeodesic Equation |
Newton's Second Law of Motion |
Geodesic Equation |
Newton's First Law of Motion |
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