A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-04-15 DOI:10.1016/j.aop.2025.170030

Hiroaki Nakajima , Ya Guo , Wenbin Lin

引用次数: 0

Abstract

We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.

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非真空静止轴对称型D时空的广义Plebański-Demiański度规

我们研究了一个平稳轴对称型D度规，该度规具有两个实零四分体是测地线和无剪切的附加条件，但不具有真空或电真空条件，两者都不是渐近平坦性假设。我们证明，通过适当地选择坐标，我们可以得到Plebański-Demiański （PD）度规的泛化。我们还证实了该度规如何通过要求电真空条件自然地降低到原始PD值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.