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arXiv 1502.02017gr-qc
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正压状态方程允许一组单参数共形运动的虫洞

Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions

Peter K. F. Kuhfittig

摘要:

莫里斯和索恩提出的可穿越虫洞的理论构建通过分配形状和红移函数来保持对几何形状的完全控制,从而使应力-能量张量的确定保持开放。本文考察了线性正压状态方程$p_r=ωρ$的引入对理论结构的影响。如果能量密度或与之密切相关的形函数已知,那么爱因斯坦场方程通常不会产生有限的红移函数。然而,如果虫洞允许一个单参数组的共形运动,那么红移和形状函数都存在,只要$ω<-1$。在宇宙学背景下,状态方程$p=ωρ$,$ω<-1$,与幻影暗能量有关,已知暗能量支持可穿越的虫洞。

英文摘要:

The theoretical construction of a traversable wormhole proposed by Morris and Thorne maintains complete control over the geometry by assigning both the shape and redshift functions, thereby leaving open the determination of the stress-energy tensor. This paper examines the effect of introducing the linear barotropic equation of state $p_r=ωρ$ on the theoretical construction. If either the energy density or the closely related shape function is known, then the Einstein field equations do not ordinarily yield a finite redshift function. If, however, the wormhole admits a one-parameter group of conformal motions, then both the redshift and shape functions exist provided that $ω<-1$. In a cosmological setting, the equation of state $p=ωρ$, $ω<-1$, is associated with phantom dark energy, which is known to support traversable wormholes.

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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