Appendix A

Newtonian-Relativistic Comparisons

Return to Relativity

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