arXiv 1109.65762011-09gr-qcastro-ph.COhep-th

标量真空时空的稳定性

On the stability of scalar-vacuum space-times

K. A. Bronnikov, J. C. Fabris, A. Zhidenko

备注：: 18 pages, 5 figures. A few comments and references added. Final version accepted at EPJC
发表信息：: EuroPhys J. C 71 (11), 1791 (2011)
DOI：: 10.1140/epjc/s10052-011-1791-2

摘要：

研究了以标量场为源的爱因斯坦方程静态球对称解的稳定性。我们描述了一个一般的方法来研究小的径向扰动标量真空配置与任意的潜力V（π），特别是空间时的咽喉（包括虫洞），这是可能的，如果标量是幻影。在这样的喉道处，用于扰动的有效势V_eff具有阻止完整扰动分析的正极（势壁）。我们发现，一般来说，（i）V_eff的形式正是正则化所需的已知的S-变形方法，和（ii）与正则化的潜在的解决方案导致规则的标量场和度量扰动的初始配置。著名的保角映射使这些结果也适用于标量张量和f（R）引力理论。作为一个特例，我们证明了所有具有正常标量和幻影标量且V（ψ）= 0的静态解在球面扰动下的不稳定性.因此，我们确认了以前的结果上的不稳定性的反Fisher虫洞和Fisher的奇异解，并证明了这些解决方案，包括反Fisher“冷黑洞“的其他分支的不稳定性。

英文摘要：

We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations of scalar-vacuum configurations with arbitrary potentials V(ϕ), and in particular space-times with throats (including wormholes), which are possible if the scalar is phantom. At such a throat, the effective potential for perturbations V_eff has a positive pole (a potential wall) that prevents a complete perturbation analysis. We show that, generically, (i) V_eff has precisely the form required for regularization by the known S-deformation method, and (ii) a solution with the regularized potential leads to regular scalar field and metric perturbations of the initial configuration. The well-known conformal mappings make these results also applicable to scalar-tensor and f(R) theories of gravity. As a particular example, we prove the instability of all static solutions with both normal and phantom scalars and V(ϕ) = 0 under spherical perturbations. We thus confirm the previous results on the unstable nature of anti-Fisher wormholes and Fisher's singular solution and prove the instability of other branches of these solutions including the anti-Fisher "cold black holes".

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文