Insights Adding Relativity to Gravity Animation | edguy99

edguy99
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https://www.physicsforums.com/insights/adding-relativity-to-a-gravity-animation/
 
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edguy99 said:
edguy99 submitted a new PF Insights post

https://www.physicsforums.com/insights/adding-relativity-to-a-gravity-animation/

https://www.physicsforums.com/insights/wp-content/uploads/2015/05/relativityanimation-80x80.png https://www.physicsforums.com/insights/adding-relativity-to-a-gravity-animation/

I'm looking forward to the Einstein and quantum gravity comparative. I've just recently taken the perspective of gravity not being a geometric effect on spacetime specifically, but instead a field that affects the kinematics via...not spacetime.
 
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Looking forward to the Einstein’s gravity and quantum mechanic comparative!
 

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Thread 'Synchronizing clocks in an inertial frame if light is anisotropic'

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Thread 'Is the variation of the metric ##\delta g_{\mu\nu}## a tensor?'

From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
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