- #1
Orion1
- 973
- 3
Schwarzschild metric:
[tex]c^{2} d\tau^{2} = e^{\nu(r)} dt^{2} - e^{\lambda(r)} dr^{2} - r^2 d\theta^{2} - r^2 \sin^2 \theta d\phi^2[/tex]
According to reference 1, the Maple 13 'tensor' package generated this solution for the [itex]G_{11}[/tex] component:
[tex]G_{11} = \frac{- r \nu' + e^{\lambda} - 1}{r^2}[/tex]
According to reference 2, the Mathematica 6 'Einsteintensor' package generated this solution for the [itex]G_{11}[/tex] component:
[tex]G_{11} = \frac{e^{-\lambda} (-r \nu' + e^{\lambda} - 1)}{r^2}[/tex]
According to reference 3 - eq. series 7, the solution for the [itex]G_{11}[/tex] component:
[tex]G_{11} = \frac{\nu'}{r} - \frac{e^{\lambda}}{r^2} + \frac{1}{r^2}[/tex]
According to reference 4 - eq. 4, the solution for the [itex]G_{11}[/itex] component:
[tex]G_{11} = \frac{e^{-\lambda} (r \nu' - e^{\lambda} + 1)}{r^2}[/tex]
Which [itex]G_{11}[/itex] component is the correct solution?
Reference:
https://www.physicsforums.com/showpost.php?p=2543074&postcount=1"
https://www.physicsforums.com/showpost.php?p=2547561&postcount=2"
http://www.bergshoeff.fmns.rug.nl/gr/form1.pdf"
http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a87_195.pdf"
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