Timeline for Pass to globally conserved currents from locally conserved currents in curved spacetime
Current License: CC BY-SA 3.0
9 events
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| Apr 13, 2017 at 12:39 | history | edited | CommunityBot |
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| Dec 28, 2015 at 21:50 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
Added explanation
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| Nov 3, 2015 at 15:17 | comment | added | Qmechanic♦ | References to the $\odot$-notation: Wards & Wells, p. 115. | |
| Jul 21, 2015 at 11:25 | comment | added | Qmechanic♦ | Related Phys.SE answer of mine. | |
| Apr 11, 2015 at 21:29 | comment | added | alphanzo | I guess I'm still a little bit confused. Doesn't your discussion only create a conserved current whenever there is a Killing vector K? But in this case we need very generically conserved quantities so long as they reduce to the Poincare group in the limit of zero gravitation (I tried to give an example in the edit above... but it has a boundary term that ruins it. Notice that this is something that I didn't get from Noether, and it almost works.) | |
| Apr 11, 2015 at 20:30 | comment | added | Qmechanic♦ | For particular spacetimes $(M,g)$, one can sometimes say and do more, e.g. there may be a well-defined notion of total gravitational energy. The above answer only addresses generic spacetimes for brevity. | |
| Apr 11, 2015 at 20:10 | comment | added | alphanzo | thank you, but I'm a little curious why you have ruled out pseudo tensors from the outset. It would seem that since there is not enough symmetry to the problem then a pseudo tensor is the only way to flesh out the conservation laws, meaning that they are the only means of writing a set of conservation laws that become the poincare group in the limit M goes to zero, for example in Schwarzschild coordinates. | |
| Apr 11, 2015 at 15:38 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
Added explanation
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| Apr 10, 2015 at 19:47 | history | answered | Qmechanic♦ | CC BY-SA 3.0 |