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arXiv 1604.04578gr-qc
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各向同性压力下的静态球对称虫洞

Static spherically symmetric wormholes with isotropic pressure

Mauricio Cataldo, Luis Liempi, Pablo Rodríguez

摘要:

本文研究了具有各向同性压力的物质源维持的静态球对称虫洞解。我们表明,这样的球形虫洞不存在的框架内的零潮汐力虫洞。另一方面,它表明,对于经常使用的幂律形状函数有没有球对称的可穿越的虫洞持续的源与线性状态方程$p=ωρ$的各向同性压力,独立的形式的红移函数$ϕ(r)$。我们考虑托尔曼在1939年得到的一个解,用于描述各向同性流体的静态球体,并表明它也可以描述具有幂律红移函数的虫孔时空,这导致多项式形函数,推广幂律形函数,并引起立体角亏损。

英文摘要:

In this paper we study static spherically symmetric wormhole solutions sustained by matter sources with isotropic pressure. We show that such spherical wormholes do not exist in the framework of zero-tidal-force wormholes. On the other hand, it is shown that for the often used power-law shape function there is no spherically symmetric traversable wormholes sustained by sources with a linear equation of state $p=ωρ$ for the isotropic pressure, independently of the form of the redshift function $ϕ(r)$. We consider a solution obtained by Tolman at 1939 for describing static spheres of isotropic fluids, and show that it also may describe wormhole spacetimes with a power-law redshift function, which leads to a polynomial shape function, generalizing a power-law shape function, and inducing a solid angle deficit.

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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