Timeline for Abstract index notation for General Relativity (Wald)
Current License: CC BY-SA 3.0
2 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2018 at 4:47 | comment | added | Bence Racskó | This is incorrect and Wald explains within the text what $\partial_a$ and $\Gamma^a_{\ bc}$ is. If $(U,x)$ is a local chart, then one may define a locally defined connection within $U$ as $\partial_a V^b=\partial_\mu V^\nu (dx^\mu)_a(\partial_\nu)^b$. Which is a genuine (local) connection, but one that is associated with a chart, so another chart $(U^\prime,x^\prime)$ will give a different one $\partial^\prime_a$. Same goes for the $\Gamma$s. They are genuine local tensor fields, but they are associated with charts, and when you change the chart, you replace them with another one. | |
| Jan 20, 2018 at 5:13 | history | answered | Ryan Unger | CC BY-SA 3.0 |