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arXiv 2102.10797gr-qchep-th
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Rastall和k-本质理论中最简单的虫洞

The simplest wormhole in Rastall and k-essence theories

Kirill A. Bronnikov, Vinícius A. G. Barcellos, Laura P. de Carvalh, Júlio C. Fabris

摘要:

Ellis-Bronnikov虫孔的几何形状是在具有自相互作用的标量场的Rastall和k-本质引力理论中实现的。在这两种情况下的标量场势的形式确定。对球对称含时扰动的稳定性进行了分析,结果表明,在k-本质理论中,虫洞是不稳定的,就像在广义相对论中由无质量虚标量场支持的这种几何的原始版本一样。在拉斯特尔的理论中,微扰方法揭示了先前在黑洞解中发现的同样的不一致性:运动方程排除了静态结构的时间相关微扰,从这个意义上说,虫洞在球面微扰下是稳定的。

英文摘要:

The geometry of the Ellis-Bronnikov wormhole is implemented in the Rastall and k-essence theories of gravity with a self-interacting scalar field. The form of the scalar field potential is determined in both cases. A stability analysis with respect to spherically symmetric time-dependent perturbations is carried out, and it shows that in k-essence theory the wormhole is unstable, like the original version of this geometry supported by a massless phantom scalar field in general relativity. In Rastall's theory, it turns out that a perturbative approach reveals the same inconsistency that was found previously for black hole solutions: time-dependent perturbations of the static configuration prove to be excluded by the equations of motion, and the wormhole is, in this sense, stable under spherical perturbations.

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。

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