发表机构
Government General Degree College Singur; Madhabdev University; Khazar University; University of KwaZulu-Natal; Jadara University（辛格尔政府普通学位学院; 马哈德夫大学; 哈萨尔大学; 夸祖鲁-纳塔尔大学; 贾达拉大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在dRGT大质量引力中构建卡西米尔能量支持的虫洞，验证其可穿越性与稳定性，并发现准正则模谱特征可用于区分虫洞与黑洞。
AI 中文摘要
本文研究了在de Rham-Gabadadze-Tolley（dRGT）大质量引力中由卡西米尔能量支持的静态、球对称可穿越虫洞。通过推导精确形状函数 $b(r) = r_0 + \frac{\pi^3(-r + r_0)}{90 r r_0} - \frac{1}{2} C m_g^2 (r - r_0)[2C c_2 + c_1(r + r_0)]$，我们验证了该几何满足局部Morris-Thorne喉部及可穿越条件，包括 $b(r_0)=r_0$ 和 $b'(r_0)<1$。对于此处考虑的非零大质量引力参数，所得时空并非渐近平坦，其大$r$行为由形状函数中的大质量引力贡献主导。卡西米尔能量密度 $\rho = -\pi^2/(720 r^4)$ 确保在整个喉部区域违反零能量条件，这由所有参数值下 $(\rho + p_r)$ 和 $(\rho - |p_r|)$ 的负行为所证明。体积积分量化分析表明，大质量引力参数 $m_g^2 c_2$ 直接调节奇异物质需求，随着 $m_g^2 c_2$ 从 $0.1$ 增加到 $0.5$，积分NEC违反变得更负。通过广义Tolman-Oppenheimer-Volkoff方程严格建立了力学平衡，其中各向异性力精确平衡了引力与流体静力。利用解析Mashhoon方法和直接数值积分提取了标量扰动的准正则模谱。有效势在喉部形成对称势垒，其峰值高度随多极数 $\ell$ 增加而增大。阻尼率 $|\omega_I|$ 随大质量引力参数增加而系统性增大。这些独特的谱特征为未来引力波观测中区分卡西米尔虫洞与黑洞提供了稳健的理论标记。
英文摘要
This paper investigates static, spherically symmetric traversable wormholes supported by Casimir energy within de Rham-Gabadadze-Tolley (dRGT) massive gravity. By deriving the exact shape function $b(r) = r_0 + \frac{π^3(-r + r_0)}{90 r r_0} - \frac{1}{2} C m_g^2 (r - r_0)[2C c_2 + c_1(r + r_0)]$, we verify that the geometry satisfies the local Morris--Thorne throat and traversability conditions, including $b(r_0)=r_0$ and $b'(r_0)<1$. For the nonzero massive-gravity parameters considered here, the resulting spacetime is not asymptotically flat, and its large-$r$ behavior is governed by the massive-gravity contributions to the shape function. The Casimir energy density $ρ= -π^2/(720 r^4)$ ensures the Null Energy Condition is violated throughout the throat region, as demonstrated by the negative behavior of $(ρ+ p_r)$ and $(ρ- |p_r|)$ across all parameter values. Analysis of the volume integral quantifier reveals that the massive gravity parameter $m_g^2 c_2$ directly regulates the exotic matter requirement, with the integrated NEC violation becoming more negative as $m_g^2 c_2$ increases from $0.1$ to $0.5$. The mechanical equilibrium is rigorously established via the generalized Tolman-Oppenheimer-Volkoff equation, where the anisotropic force precisely balances the gravitational and hydrostatic forces. The quasinormal mode spectrum for scalar perturbations is extracted using both the analytical Mashhoon method and direct numerical integration. The effective potential forms a symmetric barrier at the throat, with the peak height increasing with the multipole number $\ell$. The damping rate $|ω_I|$ grows systematically with increasing massive gravity parameter. These distinct spectral signatures provide robust theoretical markers for distinguishing Casimir wormholes from black holes in future gravitational wave observations.
Comments28 pages, 18 figures
