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f(R,ϕ,X)引力下的带电各向异性致密星:采用赖斯纳-诺德斯特龙外解的I类嵌入方法

Charged Anisotropic Compact Stars in $f(R,ϕ,X)$ Gravity: A Class I Embedding Approach with Reissner-Nordström Exterior

Adnan Malik, Fatemah Mofarreh, Ayesha Almas, Wedad Albalawi, Aishah Alshehri

arXiv 2609.01630首次发表:更新:

发表机构

University of South China; University of Management and Technology, Sialkot Campus; Khazar University; Princess Nourah Bint Abdulrahman University(南华大学; 管理技术大学锡亚尔科特校区; 哈扎尔大学; 公主努拉·宾特·阿卜杜勒拉赫曼大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文在f(R,ϕ,X)引力框架下,采用I类嵌入方法结合Reissner-Nordström外解构建带电各向异性致密星模型,验证其物理可行性与稳定性。

AI 中文摘要

本研究在f(R,ϕ,X)修正引力框架下探究带电各向异性致密球体的物理特性。从静态球对称时空出发,我们对时间度规分量gₜₜ采用Adler型假设,再通过Karmarkar条件系统推导径向度规分量gᵣᵣ,该条件确保内部几何满足I类嵌入。本方法的关键环节是将内部解在恒星边界与外域Reissner–Nordström时空(带电非旋转质量的标准真空解)匹配,此匹配过程对确定积分常数及验证全局物理一致性至关重要。我们对所得恒星模型的综合分析涵盖能量密度、径向与切向压强、各向异性、物态方程参数、能量条件、质量函数、致密性及表面红移等多个物理量,稳定性评估还包含绝热指数与Tolman-Oppenheimer-Volkoff方程的检验。总体而言,研究结果表明,本文提出的带电致密星模型是物理上可行的构型,无奇异点且在考虑的参数空间内保持稳定平衡。

英文摘要

This work examines the physical characteristics of charged, anisotropic compact spheres within the framework of $f(R,ϕ,X)$ modified gravity. Starting from a static, spherically symmetric spacetime, we employ an Adler-type ansatz for the temporal metric component $g_{tt}$. The corresponding radial metric component $g_{rr}$ is then systematically derived through application of the Karmarkar condition, which ensures a class-one embedding for the interior geometry. A crucial aspect of our approach involves matching the interior solution at the stellar boundary to the exterior Reissner--Nordstr$\ddot{0}$m spacetime---the established vacuum solution for charged, non-rotating masses. This matching procedure is essential for determining integration constants and verifying global physical consistency. Our comprehensive analysis of the resulting stellar model investigates multiple physical aspects, including energy density, radial and tangential pressures, anisotropy, equation-of-state parameters, energy conditions, mass function, compactness, and surface redshift. Stability assessment further incorporates examination of the adiabatic index and the Tolman--Oppenheimer--Volkoff equation. Collectively, our findings demonstrate that the charged compact star model presented here constitutes a physically viable configuration---free of singularities and maintaining stable equilibrium across the considered parameter space.

CommentsComments: 25 pages, 12 figures, Accepted in Advances in High Energy Physics

论文原文

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