Homotheties of cylindrically symmetric static manifolds and their global extension

Asghar Qadir*, M. Sharif, M. Ziad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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 languageEnglish
Pages (from-to)345-349
Number of pages5
JournalClassical and Quantum Gravity
Issue number2
Publication statusPublished - Jan 21 2000

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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