A Heuristic Approach EFE: Why 10 DOF?

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TL;DR Summary
Some sources state we seek 10 dof ( and so ofc this is a symmetric two index tensor.


My question is why we seek 10 dof in the first place ?


Many thanks
Some sources state we seek 10 dof ( and so ofc this is a symmetric two index tensor.My question is why we seek 10 dof in the first place ?Many thanks
 
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binbagsss said:
Some sources

What sources? Please give specific references.
 
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The number of equations is because in General Relativity there are four dimensions of spacetime.
 
The metric is symmetric, so there are only 10 independent equations out of 16. That accounts for 6 degrees of freedom. The remaining 4 degrees of freedom are to allow for arbitrary coordinate transformations.
 
Daverz said:
The metric is symmetric, so there are only 10 independent equations out of 16. That accounts for 6 degrees of freedom. The remaining 4 degrees of freedom are to allow for arbitrary coordinate transformations.

No, this is not correct. First, 10 independent equations does not account for 6 degrees of freedom. Second, 4 degrees of freedom is not enough to allow for arbitrary coordinate transformations.
 
In the absence of any references, this thread is closed.
 
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