Abstract
Cylindrically symmetric static manifolds are classified according to their homotheties and metrics. In each case the homothety vector fields and the corresponding metrics are obtained explicitly by solving the homothety equations. It turns out that these metrics admit homothety groups Hm, where m = 4, 5, 7, 11. This classification is then used to identify the cylindrically symmetric static spaces admitting the local homotheties, which are globally prohibited due to their topological construction. Einstein's field equations are then used to identify the physical nature of the spaces thus obtained.
Original language | English |
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Pages (from-to) | 345-349 |
Number of pages | 5 |
Journal | Classical and Quantum Gravity |
Volume | 17 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jan 21 2000 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)