- #1
BiGyElLoWhAt
Gold Member
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Say I wanted to set up EFE for the Earth and moon. How do I actually go about filling the stress energy tensor? I'm referencing the wikipedia page.
So the time-time should be approximately E/c^2V, so for the Earth moon system
##T_{00} = \frac{3}{4\pi r_E^3}\frac{1}{c^2}(M_Ec^2 + 2/5 M_Er_E^2\omega^2)##
from 0 to r_E + [same for the moon] but from [center of the moon as a function of time] to [radius of the moon]
I guess my question is how do I rigorously add in these limits? So if I wanted to include the earth, sun, and moon, these limits on the location of the energy density/c^2 will be more noticeably important.
Certainly I don't have to write it as a Fourier or taylor series, right? Right?
Any help is appreciated.
So the time-time should be approximately E/c^2V, so for the Earth moon system
##T_{00} = \frac{3}{4\pi r_E^3}\frac{1}{c^2}(M_Ec^2 + 2/5 M_Er_E^2\omega^2)##
from 0 to r_E + [same for the moon] but from [center of the moon as a function of time] to [radius of the moon]
I guess my question is how do I rigorously add in these limits? So if I wanted to include the earth, sun, and moon, these limits on the location of the energy density/c^2 will be more noticeably important.
Certainly I don't have to write it as a Fourier or taylor series, right? Right?
Any help is appreciated.