Timeline for A problem about closed 2-forms on Minkowski space
Current License: CC BY-SA 3.0
4 events
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| Mar 19, 2018 at 15:36 | comment | added | Willie Wong | @jacktang1996: you will need to complement vanishing at infinity with certain growth/decay rates on your assumption of the new metric $g$. For example, you can start with an arbitrary solution to the Maxwell equations on $\mathbb{R}^{1,3}$, and define a diffeomorphism of $\mathbb{R}^{1,3}$ to itself so that it stretches as you go toward infinity (for example, imagine the mapping on $\mathbb{R}^4$ that looks like $x \mapsto e^{|x|} x$ for $x$ outside the ball of radius 2 and the identity within). Compact support avoids this issue as 0 is smaller than any positive number. | |
| Mar 19, 2018 at 13:05 | comment | added | jacktang1996 | Thank you very much for give this counterexample！I wonder what if I weaken the condition of the example from compact support to vanishing in infinity would it possible to make some modification to make the proccess work as well？ | |
| Mar 18, 2018 at 2:52 | vote | accept | jacktang1996 | ||
| Mar 18, 2018 at 2:35 | history | answered | Willie Wong | CC BY-SA 3.0 |