21 февр. 2012 г. · Stokes' theorem really does is relate the integral of an n-form over a boundary to the integral of its exterior derivative over the enclosed submanifold.

3 июн. 2018 г. · Stokes' theorem does not apply directly, because [1] there is a boundary in three dimensions (the surface itself) and [2] the divergence in ...

16 февр. 2016 г. · In order to be able to apply Stokes theorem in Lorentzian manifolds, we must take normals to the boundary of the volume we integrate on that are.

3 июн. 2018 г. · The Gauss-Stokes theorem defined for a vector field is as follows: ∫VAα;α√−gd4x=∮∂VAαdΣα. But how do we generalize it to do integration of ...

23 июл. 2018 г. · The Gauss' theorem is ∫D∇μXμ√−detgdnx=∫∂DnμXμ√|deth|dn−1ξ. Here n is the (usually taken to be) outward-pointing unit ...

1 окт. 2022 г. · I have no idea how to get the equation below from above. Intuitively I guess that it has sth to do with the Gaussian version of Stoke's theorem ...

3 февр. 2021 г. · To get from a "covariantly conserved" energy-momentum tensor to an actual conserved quantity, you need to have a spactime symmetry.

12 сент. 2016 г. · In deriving the Einstein-Hilbert action the standard procedure is to ignore boundary terms without saying why.

5 февр. 2024 г. · My professor said that it's easy to generalize to these definitions of Stoke's and Gauss' theorem from the 3 dimensional versions but didn't say much else.

11 мая 2023 г. · I am aware of the Stokes theorem in General relativity and integrating forms against a volume element. However, in my question I'm refering ...