How to take into account the symmetry of the metric tensor when doing the Functional derivative in GR?
74607
Variation of the metric with respect to the metric
135071
Energy momentum tensor from Noether's theorem
59833
Isometric embedding of Schwarzchild metric in $\mathbb{R}^4$
129961
Compute curvature tensor from constant sectional curvature
49503
Why does the natural quotient metric works in this case?
112187
Is there a way to see that $ \nabla_\mu g_{\nu \rho} = 0 $ without explicit computation, where $\nabla_\mu$ refers to the covariant derivative?
152446
Noether's Theorem and scale invariance
9924
Derivative of conjugate multivariate function
34312
Mathematically-oriented Treatment of General Relativity
45363
Show that both mixed partial derivatives exist at the origin but are not equal
63896
Why is the (non-relativistic) stress tensor linear and symmetric?
148837
Equivalent definition of metric compatibility for a connection: what does $\nabla g$ mean?
155492
Exercise on local and global symmetry for a given Lagrangian density
70438
Generalize Clairaut-Schwarz theorem to arbitrary order of mixed partial derivatives
129481
About the term $-\nabla_{[u,v]}w$ in the definition of Riemann curvature tensor
57740
Counting independent components of Riemann curvature tensor
63402
Euler-Lagrange equation in curved spacetime: how to calculate $\partial \mathcal{L}/\partial(\nabla_\nu A_\mu)$?