An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe

IF 2.8 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2025-10-07 DOI:10.1007/s10714-025-03476-0

Vitor Cardoso, José Natário

引用次数: 0

Abstract

The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the \(z-\)axis. It plays an important role in our understanding of the interplay between geometry and matter, and is often used as a proxy for astrophysical environments. Here, we construct the scalar counterpart to the Schwarzschild-Melvin spacetime: a non-asymptotically flat black hole geometry with an everywhere regular scalar field whose gradient is asymptotically aligned with the \(z-\)axis.

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一个精确解描述标量对应于史瓦西-梅尔文宇宙

施瓦西-梅尔文时空是爱因斯坦电真空方程的精确解，该方程描述了一个沉浸在与\(z-\)轴渐近对齐的磁场中的黑洞。它在我们理解几何和物质之间的相互作用方面发挥着重要作用，经常被用作天体物理环境的代表。在这里，我们构造了与史瓦西-梅尔文时空对应的标量：一个非渐近平坦的黑洞几何形状，其处处有正则标量场，其梯度渐近地与\(z-\)轴对齐。

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

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.