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Dimensionally dependent divergences
| Content Provider | Scilit |
|---|---|
| Author | Horndeski, Gregory W. |
| Copyright Year | 1972 |
| Description | It is well known that in an even dimensional Riemannian space there always exists a particular scalar density which is such that its associated Euler–Lagrange tensor vanishes identically. In this note we show that each of these scalar densities can be expressed as the ordinary divergence of a contravariant vector density. Furthermore, there exists an entire class of contravariant vector densities which enjoy this property. These results are discussed with particular reference to the general theory of relativity. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/89E722FDE762C9B68FBBCD9732EE800E/S0305004100050969a.pdf/div-class-title-dimensionally-dependent-divergences-div.pdf |
| Ending Page | 82 |
| Page Count | 6 |
| Starting Page | 77 |
| ISSN | 03050041 |
| e-ISSN | 14698064 |
| DOI | 10.1017/s0305004100050969 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Issue Number | 1 |
| Volume Number | 72 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1972-07-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Proceedings of the Cambridge Philosophical Society Particles and Fields Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
