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In this approximation, we assume the metric for spacetime () be written in coordinates as:
where is the Minkowski metric, is the deviation from the Minkowski metric and is taken to be a non-zero real constant.
A relation between the Newtonian gravitational potential and the deviation term above can be obtained by calculating the Christoffel symbols (upon ignoring terms of order higher than ):
Stephani, Hans (1990). General Relativity: An Introduction to the Theory of the Gravitational Field,. Cambridge: Cambridge University Press. ISBN 0-521-37941-5.{{cite book}}: CS1 maint: publisher location (link)
Adler, Ronald; Bazin, Maurice' & Schiffer, Menahem (1965). Introduction to General Relativity. New York: McGraw-Hill. ISBN 0-070-00423-4.{{cite book}}: CS1 maint: multiple names: authors list (link)