کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1896545 | 1044439 | 2011 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Noether symmetries and conserved quantities for spaces with a section of zero curvature
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Noether symmetries and conserved quantities for spaces with a section of zero curvature Noether symmetries and conserved quantities for spaces with a section of zero curvature](/preview/png/1896545.png)
چکیده انگلیسی
In an earlier paper (Feroze, 2010Â [21]), the existence of new conserved quantities (Noether invariants) for spaces of different curvatures was discussed. There, it was conjectured that the number of new conserved quantities for spaces with an m-dimensional section of zero curvature is m. Here, along with the proof of this conjecture, the form of the new conserved quantities is also presented. For the illustration of the theorem, an example of conformally flat spacetime is constructed which also demonstrates that the conformal Killing vectors (CKVs), in general, are not symmetries of the Lagrangian for the geodesic equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 3, March 2011, Pages 658-662
Journal: Journal of Geometry and Physics - Volume 61, Issue 3, March 2011, Pages 658-662
نویسندگان
Tooba Feroze, Ibrar Hussain,