Riemann curvature scalar value different in Landau and MTW ?

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hello
For the same Friedmann metric, Landau (Classical theory of fields) finds a value for the Riemann curvature scalar which is given in section 107 :
R = 6/a3( a + d2(a)/dt2)
whereas in MTW , in box 14.5 , equation 6 , its value is :

R = 6(a-1 d2(a)/dt2 + a-2 (1 + (d(a)/dt)2 ) )

The metric is the same ! how come ? this could not be related to the fact that Landau does the replacement :
cd[itex]\tau[/itex] = ad[itex]\eta[/itex]
 

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  • #2
Bill_K
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The metric is the same ! how come ? this could not be related to the fact that Landau does the replacement : cd[itex]\tau[/itex] = ad[itex]\eta[/itex]
Yes, that's it exactly. the difference is that in Landau & Lifgarbagez, the dot means d/dη, not d/dt.
 
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I see Bill Thanks. Not so obvious though .
 

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