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Talk:Counterexamples to Relativity (view source)
Revision as of 01:33, July 31, 2010
, 01:33, July 31, 2010→Curl of the gravitaional field: new section
::::: The word "relativity" dates from the early 1800s. That's not what is being discussed here. If preceded with "theory of" then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)
::::: The word "relativity" dates from the early 1800s. That's not what is being discussed here. If preceded with "theory of" then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)
== Curl of the gravitaional field ==
Sorry to get over-technical, but the fundamental law of "fictitious forces" (including gravity) is that the force field (divided by the mass of the test object) is
<math>G^i = - \Gamma^i_{00}</math>
Its curl is
<math>(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}</math>
where the semicolon indicates the covariant gradient.
When you work this out, it involves derivatives of the <math>\Gamma\,</math> quantities. In general relativity, the results are zero by symmetries of Riemann's tensor.
[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)