I'm away from my computer (and, unfortunately, my passwords for online journal access) and I'm having a moment of forgetfulness. Can somebody confirm for me that the Einstein-Yang-Mills action with cosmological constant is the following?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]S = \int d^5x \sqrt{|g^{(5)}|}\left(\frac{1}{16\pi G_{(5)}}(R-2\Lambda_{(5)}) - \frac{1}{4\overline{e}^2}F^{a}_{IJ}F^{aIJ}\right),[/tex]

where

[tex]F^a_{IJ} = \partial_IA^a_J - \partial_JA^a_I + \epsilon_{abc}A^b_IA^c_J[/tex]

and [itex]G[/itex] and [itex]\overline{e}[/itex] are, respectively, Newton's constant and the coupling constant of the gauge field theory? Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Einstein-Yang-Mills question

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**