- #1

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Where the ##T## is stress-energy tensor,##T^i{^j}##is the flux of i momentum across the j surface.

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- Thread starter GR191511
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- #1

- 72

- 6

Where the ##T## is stress-energy tensor,##T^i{^j}##is the flux of i momentum across the j surface.

- #2

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What confuses you about the statement?

Where the ##T## is stress-energy tensor,##T^i{^j}##is the flux of i momentum across the j surface.

- #3

- 72

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If the forces are perpendicular to the interfaces,then##T^i{^j}##will be zero?Why?What confuses you about the statement?

- #4

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The spatial components ##T^{ij}## are in essence the stress tensor, which means that the components are the ##i## component of the force across an interface in the ##j## direction.If the forces are perpendicular to the interfaces,then##T^i{^j}##will be zero?Why?

- #5

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Oh! I see...Thank you！The spatial components ##T^{ij}## are in essence the stress tensor, which means that the components are the ##i## component of the force across an interface in the ##j## direction.

- #6

Science Advisor

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"Perpendicular to the interface" is potentially a misleading phrase.if the forces are perpendicular to the interfaces

Does that mean

I struggled for a minute or two trying to figure out how the author's statement could possibly be correct until I caught on to the intended interpretation.

- #7

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- #8

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Have you told the divergence theorem this?with the sign choice arbitrary of course

- #9

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The only exception is Max von Laue's textbook on relativity. There he uses the convention to let the surface-normal vectors pointing inwards. It drives you nuts, when used for years to the "standard convention", but after all, it's just a convention!

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