Rotating spacetimes with a free scalar field in four and five dimensions

IF 4.2 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-05-14 DOI:10.1140/epjc/s10052-025-14282-y

José Barrientos, Christos Charmousis, Adolfo Cisterna, Mokhtar Hassaine

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引用次数: 0

Abstract

We construct explicit rotating solutions in Einstein’s theory of relativity with a minimally coupled free scalar field rederiving and finding solutions in four or five spacetime dimensions. These spacetimes describe, in particular, the back-reaction of a free scalar field evolving in a Kerr spacetime. Adapting the general integrability result obtained many years ago from Eriş–Gürses to simpler spherical coordinates, we present a method for rederiving the four-dimensional Bogush–Gal’tsov solution. Furthermore, we find the five-dimensional spacetime featuring a free scalar with two distinct angular momenta. In the static limit, these five-dimensional geometries provide higher-dimensional extensions of the Zipoy–Voorhees spacetime. Last but not least, we obtain the four-dimensional version of a Kerr–Newman-NUT spacetime endowed with a free scalar, where the scalar field’s radial profile is extended to incorporate dependence on the polar angular coordinate. Our results offer a comprehensive analysis of several recently proposed four-dimensional static solutions with scalar multipolar hair, representing a unified study of spacetimes with a free scalar field in both four and five dimensions under the general integrability result of Eriş–Gürses.

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用四维和五维的自由标量场旋转时空

我们用最小耦合的自由标量场构造了爱因斯坦相对论中的显式旋转解，并在四维或五维时空中重新推导和寻找解。这些时空特别描述了在克尔时空中演化的自由标量场的反作用力。将多年前由eri - grses得到的一般可积性结果应用于更简单的球坐标，提出了一种重新推导四维Bogush-Gal 'tsov解的方法。进一步，我们发现了具有两个不同角动量的自由标量的五维时空。在静态极限下，这些五维几何形状提供了Zipoy-Voorhees时空的高维扩展。最后，我们得到了具有自由标量的Kerr-Newman-NUT时空的四维版本，其中标量场的径向轮廓扩展到包含对极角坐标的依赖。我们的研究结果对最近提出的几种具有标量多极毛的四维静态解进行了综合分析，代表了在eri - grses的一般可积性结果下，在四维和五维自由标量场的时空的统一研究。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.