Classification of plane-symmetric Lorentzian manifolds according to their homotheties and metrics

M Ziad Bashir*, Sadia Ehsan

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

3 اقتباسات (Scopus)

ملخص

Plane-symmetric Lorentzian manifolds are classified according to their homothetic vector fields and metrics or classes of metrics. It is found that these manifolds can admit 4, 5, 7 and 11 dimensional homothetic Lie algebras. Explicit self-similar metrics are obtained corresponding to the homothetic Lie algebras of dimensions greater than or equal to five. For four-dimensional homothetic Lie algebras, there appear classes of self-similar metrics, with metric coefficients related by non-linear differential constraints. Explicit examples are provided to ensure the existence of proper homothetic vector fields in the cases where the metrics are given implicitly. Later, using this classification, self-similar metrics are found which represent perfect-fluid solutions of the Einstein field equations.

اللغة الأصليةUndefined/Unknown
الصفحات (من إلى)71-83
عدد الصفحات13
دوريةNuovo Cimento della Societa Italiana di Fisica. B, General Physics, Relativity, Astronomy and Mathematical Physics and Methods
مستوى الصوت123
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2008

ASJC Scopus subject areas

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