卡罗里安·R……

IF 3.7 3区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Classical and Quantum Gravity Pub Date : 2025-09-25 DOI:10.1088/1361-6382/ae077a

Andrew James Bruce

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引用次数: 0

摘要

我们提出了一种卡罗几何的方法，使用配备退化度量的主束（），其核是垂直向量场的模块。这种构造允许非平凡束，并且可以用这种形式分析大量的卡罗流形。这样做的一个关键结果是，一旦选择了主体连接，就可以利用一个规范的非退化度量来规避与退化度量相关的困难。在这个框架内，我们检查列维-奇维塔连接和零测地线。

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Carrollian R ...

We propose an approach to Carrollian geometry using principal -bundles ( ) equipped with a degenerate metric whose kernel is the module of vertical vector fields. The constructions allow for non-trivial bundles, and a large class of Carrollian manifolds can be analysed in this formalism. A key result in this is that once a principal connection has been selected, there is a canonical non-degenerate metric that can be leveraged to circumvent the difficulties associated with a degenerate metric. Within this framework, we examine the Levi–Civita connection and null geodesics.

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来源期刊

Classical and Quantum Gravity 物理-天文与天体物理

CiteScore

7.00

自引率

8.60%

发文量

301

审稿时长

2-4 weeks

期刊介绍： Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.