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 |
|---|---|
| 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 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Homotheties of cylindrically symmetric static manifolds and their global extension. / Qadir, Asghar; Sharif, M.; Ziad, M.
In: Classical and Quantum Gravity, Vol. 17, No. 2, 21.01.2000, p. 345-349.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Homotheties of cylindrically symmetric static manifolds and their global extension
AU - Qadir, Asghar
AU - Sharif, M.
AU - Ziad, M.
PY - 2000/1/21
Y1 - 2000/1/21
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0034695294&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/17/2/305
DO - 10.1088/0264-9381/17/2/305
M3 - Article
VL - 17
SP - 345
EP - 349
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 2
ER -