Any two-dimensional metric satisfies Rxpμv (grµg pv - grv 9pp). Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any 2D metric. =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Any two-dimensional metric satisfies
Rxpμ
(grμ9pv-gxv9pμ).
Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any
2D metric.
R
=
Transcribed Image Text:Any two-dimensional metric satisfies Rxpμ (grμ9pv-gxv9pμ). Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any 2D metric. R =
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