I am currently reading(adsbygoogle = window.adsbygoogle || []).push({}); Gravitational Curvatureby Theodore Frankel. In the derivation of Einstein's equations in chapter 3, he states that the gravitational potential energy of a blob of fluid is

∫_{B}½p_{0}U√g_{V}dx

where the integral is a volume integral, p_{0}is the rest energy density and √g_{v}dx is the volume form.

From what I understand p_{0}√g_{v}dx is an infinitesimal bit of mass, so why wouldn't the potential energy just be U times that bit of mass? Why ½ that?

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# I Factor of 1/2 in gravitational potential energy

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