
#19
Oct2908, 02:12 AM

PF Gold
P: 4,081

I'm not so sure now but I do know that for g_{mn} to be a covariant tensor, then under transformation from [itex]x^\mu[/itex] to [itex]x^\bar{\mu}[/itex]
[tex]g_{\bar{m}\bar{n}}=g_{mn}A^n_{\bar{n}}A^m_{\bar{m}}[/tex] where [tex]A^n_{\bar{n}}=\frac{\partial x^n}{\partial x^\bar{n}}[/tex] I don't think [itex]\eta_{mn}+h_{mn}[/itex] satisfies this rule. I could be wrong, maybe someone can clarify ? 



#20
Oct2908, 10:26 AM

P: 308

in my view, quantum gravity (ie, gravitational force as a result of the interaction of graviton particles with other particles) is a nonstarter. there is no conceivable mechanism by which particle interaction could result in the perfectly smooth "bending" of light as it passes a massive star.




#21
Oct2908, 11:59 AM

Emeritus
Sci Advisor
PF Gold
P: 9,018

It's a bit strange that we have to mention a coordinate system. There will be issues to deal with, like "In what coordinate systems are the components of [itex]\eta[/itex] equal to [itex]\eta_{\mu\nu}[/itex]?". I don't know anything about how those issues were dealt with. It's been about 10 years since that time when I took a quick look at an old article where they did these things. I never tried to really understand it. 



#22
Oct3008, 05:41 PM

P: 5,634

Fredrik:
jnorman : 


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