Quantum physical relevance of the Einstein tensor

Conformal mappings preserving the Einstein tensor of Weyl manifolds

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

surveying the relevance of proportions to the content of quran verses

چکیده : قرآن چشمه سار زلال هدایتی است که از سوی خداوند حکیم نازل شده تا بشر را به سر منزل کمال برساند. و در این راستا از شیوه های گوناگون بیانی خطابی و بلاغی استفاده کرده تا با فطرت زیبا طلب انسان درآمیزد و اورا مقهور خویش ساخته، به سوی کمالات سوق دهد.ازجمله جنبه های بارز اعجاز بیانی قرآن وجود فواصل در پایان آیات است که کار برد سجع و قافیه در کلام بشر شبیه آن است. برخی ازعلمای سلف تفاوت هایی ب...

conformal mappings preserving the einstein tensor of weyl manifolds

in this paper, we obtain a necessary and sufficient condition for a conformal mapping between two weyl manifolds to preserve einstein tensor. then we prove that some basic curvature tensors of $w_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. also, we obtained the relation between the scalar curvatures of the weyl manifolds r...

Lovelock Tensor as Generalized Einstein Tensor

We show that the splitting feature of the Einstein tensor, as the first term of the Lovelock tensor, into two parts (the Ricci tensor and the term proportional to the curvature scalar) with the trace relation between them is a common feature of any other homogeneous terms in the Lovelock tensor. Motivated by the principle of general invariance, we find that this property can be generalized, wit...

A Characterization of the Einstein Tensor in Terms of Spinors