تقرير
On a Kaehlerian space-time manifold
| العنوان: | On a Kaehlerian space-time manifold |
|---|---|
| المؤلفون: | Chaturvedi, B. B., Pandey, Pankaj |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Mathematics, 53C25, 53C55, 53C80 |
| الوصف: | In this paper, the theory of space-time in 4-dimensional Kaehler manifold has been studied. We have discussed the Einstein equation with cosmological constant in perfect fluid Kaehler space-time manifold and proved that the isotropic pressure, energy density and the energy momentum tensor vanish and such a space-time manifold is an Einstein manifold. We have shown also that a conformally flat perfect fluid Kaehler space-time manifold is infinitesimally spatially isotropic relative to the velocity vector field. In last two sections, we have studied weakly symmetric and weakly Ricci symmetric perfect fluid Kaehler space-time manifolds and it has been shown, either the manifold is of zero scalar curvature or the associated vector fields rho and alpha are related by g(rho,alpha) = 4. At last, we have proved that the weakly Ricci symmetric perfect fluid Kaehler space-time manifold of non-zero scalar curvature does not exist. Comment: 9 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1603.05043 |
| رقم الأكسشن: | edsarx.1603.05043 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |