Any two-dimensional metric satisfies R_λρµν = R/2 (g_λµ g_ρν − g_λν g_ρµ). Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any 2D metric.
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Any two-dimensional metric satisfies
R_λρµν = R/2 (g_λµ g_ρν − g_λν g_ρµ).
Show that the vacuum Einstein equations (with zero cosmological constant) are satisfied for any
2D metric.
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