四维引力和电磁学的另一种统一公式

IF 2.1 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2024-02-05 DOI:10.1007/s10714-024-03208-w

Nazim Djeghloul, M. Aris Kellou

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引用次数: 0

摘要

我们展示了如何在时空畸变的构造中引入二级反对称张量，从而建立起一个几何框架，在这个框架中，引力和电磁学可以通过四维空间中希尔伯特类型的独特作用得到综合表述。特别是，在度量平坦时空的极限中，自由麦克斯韦方程作为场方程的结果得以恢复。

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An alternative unified formulation of gravitation and electromagnetism in four dimensions

We show how the introduction of a rank two antisymmetric tensor within the construction of the spacetime contortion sets the geometric framework in which gravitation and electromagnetism can be formulated synthetically through a unique action of Hilbert type in four dimensions. In particular, free Maxwell’s equations are recovered as a consequence of the field equations in the limit of metrically flat spacetime.

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.