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Jianbing_Shao's latest activity
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
.
https://encyclopedia.thefreedictionary.com/Teleparallelism So I just wonder why you say ##e_a## is orthonormal. But although GR gave...
Saturday, 7:14 AM
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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In the original definition of teleparalle connection, ##e_a## should be a holonomic frame(coordinate basis field), It is not necessarily...
Sep 12, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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So where is my wrong? just the conclusion is wrong?
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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Then why you don't think that assumption is even consistent with his calculation? can you give me some explaination?
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
.
When you say the result from my calculation is wrong. then you should point out where I have made a mistake. If you are serious , you...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
.
The difference between me and ergospherical is that he didn't demand the basis field is a coordinate basis, so they assert that there...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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So how to explain my result? if you think my explaination is wrong. then tell me the right one to explain the result I gave.
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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Don't hurry, if we start from the definition of Levi-Civita connection: ##\Gamma_{abc} = \frac{1}{2}(g_{ab,c} + g_{ac,b} - g_{bc,a})##...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
.
Are you serious to say so? If my answers is obviously wrong, then it is very easy to point out where is my wrong. In fact the...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
.
If you find that in my calculation I said if the basis field is a coordinate basis field, then it just means we only apply a coordinate...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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Is there any book tell us that a metric field can also be compatible with zero-curvature teleparallel connection? How to get the...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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But does it means in all cases they can not be equal? Is there anything wrong in my calculations? And you tell me the partial...
Sep 11, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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If the basis field ##e_a={e_a}^I e_I## is not a coordinate basis, then it means that: ##{c_{ab}}^c e_c = [e_a, e_b]\neq 0## Using...
Sep 10, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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So ##e_a^J## should be a tetrad field. then from the equation: ##\partial_a {e_b}^{I} = {\Gamma^c}_{ab} {e_c}^{I}## If ##e_a^J## is a...
Sep 8, 2025
J
Jianbing_Shao
replied to the thread
I
A sufficient condition for integrability of equation ##\nabla g=0##
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Because compatible is defined with metric compatible equation, and this equation is different with the normal differential equation in...
Sep 7, 2025
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