# Gravitational Redshift - Exact Solutions

Exact Solutions

A table of exact solutions of the Einstein field equations consists of the following:

 Non-rotating Rotating Uncharged Schwarzschild Kerr Charged Reissner–Nordström Kerr–Newman

The more often used exact equation for gravitational redshift applies to the case outside of a non-rotating, uncharged mass which is spherically symmetric. The equation is:

, where

• is the gravitational constant,
• is the mass of the object creating the gravitational field,
• is the radial coordinate of the point of emission (which is analogous to the classical distance from the center of the object, but is actually a Schwarzschild coordinate),
• is the radial coordinate of the observer (in the formula, this observer is at an infinitely large distance), and
• is the speed of light.

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