dc.contributor.author |
Bashkov V. |
|
dc.contributor.author |
Sintsova Y. |
|
dc.date.accessioned |
2018-09-17T21:43:41Z |
|
dc.date.available |
2018-09-17T21:43:41Z |
|
dc.date.issued |
2001 |
|
dc.identifier.issn |
0034-4877 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/135357 |
|
dc.description.abstract |
The aim of this paper is to demonstrate an effect of time nonholonomity which appears in accelerated reference systems. We suppose that an accelerated reference system is closely related to a physical field which changes the space-time geometry. On the space-time M = M × R we take a metric g of general form which is invariant under time shifts t → t + t0, only. The physical field is described by a 1-form θ and a function φ given on a spatial manifold M. These considerations are motivated by the model suggested in [1, 2] which interprets the Sagnac effect [4, 5] as an effect caused by a deformation of space-time geometry generated by the disk rotation. We demonstrate that this effect occurs for our general space-time metric. To this end, we consider the space-time M as a principal bundle M → M with group R, and use the fact that the distribution H orthogonal to the fibres gives an infinitesimal connection in this bundle. We note that there arises the same effect, called a generalized Sagnac effect, and prove that this one is determined by the holonomy of connection H, i.e. it occurs because H is not integrable. © 2001 Polish Scientific Publishers PWN, Warszawa. |
|
dc.relation.ispartofseries |
Reports on Mathematical Physics |
|
dc.title |
Space-time geometry with nonholonomic time field |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
3 |
|
dc.relation.ispartofseries-volume |
48 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
353 |
|
dc.source.id |
SCOPUS00344877-2001-48-3-SID0347870082 |
|