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arXiv 0903.1404gr-qc
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引力远平行理论中的自对偶洛伦兹虫洞与能量

Self-dual Lorentzian Wormholes and Energy in Teleparallel Theory of Gravity

Gamal Gergess Lamee Nashed

摘要:

在四元引力理论中,作为方程$ρ=ρ_t=0$的解,得到了两个球对称的静态洛伦兹虫孔,其中$ρ=T_{ij}u^iu^j, ρ_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$和$u^iu_i=-1$ .这个方程描述了一类“自对偶”的时空(在电引力对偶的意义上)。所得到的解的特征在于两个参数$k_1, k_2$,并有一个共同的性质,他们重现相同的度量时空。这个度量是静态洛伦兹虫洞,它包括史瓦西黑洞。使用{Møller在远程平行时空中给出的\it超势方法}计算这些四元组场的能量含量,我们发现不依赖于两个参数$k_1$和$k_2$的$E=m$或$2m$表征了虫洞。

英文摘要:

Two spherically symmetric, static Lorentzian wormholes are obtained in tetrad theory of gravitation as a solution of the equation $ρ=ρ_t=0$, where $ρ=T_{ij}u^iu^j, ρ_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$ and $u^iu_i=-1$. This equation characterizes a class of spacetime which are "self-dual" (in the sense of electrogravity duality). The obtained solutions are characterized by two-parameters $k_1, k_2$ and have a common property that they reproduce the same metric spacetime. This metric is the static Lorentzian wormhole and it includes the Schwarzschild black hole. Calculating the energy content of these tetrad fields using the {\it superpotential method given by Møller in the context of teleparallel spacetime} we find that $E=m$ or $2m$ which does not depend on the two parameters $k_1$ and $k_2$ characterize the wormhole.

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