Carter constant

The Carter constant is a conserved quantity for motion around black holes in the general relativistic formulation of gravity. Its SI base units are kg²⋅m⁴⋅s⁻². Carter's constant was derived for a spinning, charged black hole by Australian theoretical physicist Brandon Carter in 1968. Carter's constant along with the energy ${\displaystyle p_{t}}$, axial angular momentum ${\displaystyle p_{\phi }}$, and particle rest mass ${\displaystyle {\sqrt {|p_{\mu }p^{\mu }|}}}$ provide the four conserved quantities necessary to uniquely determine all orbits in the Kerr–Newman spacetime (even those of charged particles).

General relativity
${\displaystyle G_{\mu \nu }+\Lambda g_{\mu \nu }={\kappa }T_{\mu \nu }}$
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