Metric-Affine Gravity and the Geometric Nature of Matter

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2022-06-06 DOI:10.1134/S0202289322020050
Ghodratallah Fasihi-Ramandi, Shahroud Azami, Vahid Pirhadi
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Abstract

We consider the metric-affine geometry whose intrinsic structure is defined in terms of two independent objects: the Riemannian metric and the general affine connection. By means of the metric tensor, for contraction of Riemannain curvature of the affine connection, we form an action density for gravity and matter. Variations of our natural Lagrangian give us two equations. The derived equations contain the Einstein field equation. The other equation describes matter in space-time. In this framework, the affine connection is related to the concept of matter in s*pace-time, so matter can be interpreted as a factor which leads curving and twirling of the space-time manifold.

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度量-仿射引力和物质的几何性质
我们考虑的度量-仿射几何,其内在结构是由两个独立的对象定义的:黎曼度量和一般仿射连接。通过度量张量,对于仿射连接的黎曼曲率的收缩,我们形成了重力和物质的作用密度。自然拉格朗日量的变化得到两个方程。导出的方程包含爱因斯坦场方程。另一个方程描述了时空中的物质。在这个框架中,仿射连接与s*空间-时间中的物质概念有关,因此物质可以被解释为导致时空流形弯曲和旋转的因素。
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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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