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wLw

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- #1

wLw

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- #2

Vanadium 50

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- What is the mass of the sun?
- What is the gravitational binding energy of the sun?
- What is the fractional difference in mass when you consider gravitational binding?

- #3

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If ##\rho## is the mass density then the calculation is correct. If it's a measure of only one aspect of mass, rest mass of the particles perhaps, then the integral will be the total of all the rest masses.

Note that in curved spacetime you will also have to use the correct volume element for your integral.

- #4

Dale

Mentor

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In general relativity the concept of mass is not defined for all spacetimes. However, for certain specific classes of spacetimes there are a couple of definitions of mass that are used. One is the Komar mass and the other is the ADM mass. See here for an overview of the issues, limitations, and derivations:I think it includes the energy of binding energy

https://en.m.wikipedia.org/wiki/Mass_in_general_relativity

- #5

Meir Achuz

Science Advisor

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This energy includes all kinetic and potential energy, as well as \rho_m.

- #6

wLw

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