Troubleshooting Tensors: A Quick Fix Guide

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Hi... here it is... sorry for my english...

http://sphotos-c.ak.fbcdn.net/hphotos-ak-ash4/297165_4722421629188_964469850_n.jpg
 
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Hello. Looks like you replaced A^\rho by g^{\alpha\beta}A_\beta. What happened to ##\rho## and how did ##\alpha## appear? Similarly for your indices on the partial derivative: ##\sigma## disappears while ##\eta## suddenly appears.
 
Thanks Tsny, ...but it's a simply rename of the index... i mean... i think this is not the problem..
 
You can't rename free indices, only 'dummy' (ones summed over) ones.
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
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Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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