کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5496145 | 1399833 | 2017 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Riemann tensor and the Bianchi identity in 5D space-time
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The initial assumption of theories with extra dimension is based on the efforts to yield a geometrical interpretation of the gravitation field. In this paper, using an infinitesimal parallel transportation of a vector, we generalize the obtained results in four dimensions to five-dimensional space-time. For this purpose, we first consider the effect of the geometrical structure of 4D space-time on a vector in a round trip of a closed path, which is basically quoted from chapter three of Ref. [5]. If the vector field is a gravitational field, then the required round trip will lead us to an equation which is dynamically governed by the Riemann tensor. We extend this idea to five-dimensional space-time and derive an improved version of Bianchi's identity. By doing tensor contraction on this identity, we obtain field equations in 5D space-time that are compatible with Einstein's field equations in 4D space-time. As an interesting result, we find that when one generalizes the results to 5D space-time, the new field equations imply a constraint on Ricci scalar equations, which might be containing a new physical insight.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Comptes Rendus Physique - Volume 18, Issue 1, January 2017, Pages 66-71
Journal: Comptes Rendus Physique - Volume 18, Issue 1, January 2017, Pages 66-71
نویسندگان
Mehran Taki, Abolfazl Mirjalili,