On curvature related geometric properties of Hayward black hole spacetime

IF 1.9 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

New Astronomy Pub Date : 2023-12-22 DOI:10.1016/j.newast.2023.102181

Absos Ali Shaikh, Shyamal Kumar Hui, Biswa Ranjan Datta, Mousumi Sarkar

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引用次数: 0

Abstract

This paper is devoted to the study of curvature properties of Hayward black hole (briefly, HBH) spacetime, which is a solution of Einstein field equations (briefly, EFE) having non-vanishing cosmological constant. We have proved that the HBH spacetime is an Einstein manifold of level 2, 2-quasi Einstein, generalized quasi-Einstein and Roter type manifold. Also, it is shown that the nature of the HBH spacetime is pseudosymmetric and it obeys several types of pseudosymmetries, such as, pseudosymmetry due to concircular, conformal and conharmonic curvature (i.e., $F \cdot F = L Q (g, F)$ for $F = W, C, K$ with a smooth scalar function $L$ ), and it also possesses the relation $R \cdot R - L Q (g, C) = Q (S, R)$ . It is engrossing to mention that the nature of energy momentum tensor of the HBH spacetime is pseudosymmetric. On the basis of curvature related properties, we have made a comparison among Reissner–Nordström spacetime, interior black hole spacetime and HBH spacetime. It is noteworthy to mention that the gravitational force of the point-like global monopole spacetime is much stronger than that of HBH spacetime. Also, it is shown that the HBH spacetime admits an almost $η$ -Ricci soliton as well as an almost $η$ -Ricci-Yamabe soliton. Finally, an elegant comparative study is delineated between the HBH spacetime and the point-like global monopole spacetime with respect to different kinds of symmetry, such as, motion, curvature collineation, curvature inheritance etc.

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论海沃德黑洞时空与曲率相关的几何特性

本文致力于研究海沃德黑洞（简称 HBH）时空的曲率特性，HBH 时空是具有非消失宇宙常数的爱因斯坦场方程（简称 EFE）的解。我们证明了海沃德黑洞时空是第 2 层爱因斯坦流形、2-准爱因斯坦流形、广义准爱因斯坦流形和罗特型流形。此外，研究还表明 HBH 时空的性质是伪对称的，它服从几种类型的伪对称性，例如，由于共圆、共形和共谐曲率（即 F=W,C,K 时，F⋅F=LQ(g,F)，光滑标量函数 L）引起的伪对称性，它还具有 R⋅R-LQ(g,C)=Q(S,R) 的关系。值得一提的是，HBH 时空的能量动量张量的性质是伪对称的。在曲率相关性质的基础上，我们对 Reissner-Nordström 时空、内部黑洞时空和 HBH 时空进行了比较。值得注意的是，点状全局单极时空的引力远大于 HBH 时空。此外，研究还表明，HBH 时空存在近似 η-Ricci 孤子和近似 η-Rici-Yamabe 孤子。最后，我们还对 HBH 时空与点状全局单极时空在不同对称性（如运动、曲率邻接、曲率继承等）方面进行了优雅的比较研究。

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

New Astronomy 地学天文-天文与天体物理

CiteScore

4.00

自引率

10.00%

发文量

109

审稿时长

13.6 weeks

期刊介绍： New Astronomy publishes articles in all fields of astronomy and astrophysics, with a particular focus on computational astronomy: mathematical and astronomy techniques and methodology, simulations, modelling and numerical results and computational techniques in instrumentation. New Astronomy includes full length research articles and review articles. The journal covers solar, stellar, galactic and extragalactic astronomy and astrophysics. It reports on original research in all wavelength bands, ranging from radio to gamma-ray.