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arXiv 1109.2273gr-qc
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复合真空Brans-Dicke虫洞

Composite vacuum Brans-Dicke wormholes

Sergey V. Sushkov, Sergey M. Kozyrev

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14 pages, 3 figures
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摘要：

我们构造了一个新的静态球对称位形，它由在薄物质壳上匹配的内外Brans-Dicke真空组成。这两个真空对应于相同的Brans-Dicke耦合参数$ω$，但是它们由具有不同积分参数集的Brans I类解描述。特别地，外部真空解决方案具有$C_{ext}(ω)\equiv 0$。在这种情况下，任何$ω$的Brans I类解决方案减少到史瓦西一个是一致的后牛顿参数的限制，从最近的卡西尼数据。内部区域具有强引力场，因此内部真空解具有$C_{int}(ω)=-1/(ω+2)$。在这种情况下，Brans I类解描述了一个虫洞时空，只要$ω$位于窄区间$-2-\frac{\sqrt{3}}{3}<ω<-2$中。内、外区域匹配在一个薄壳上，该薄壳由具有正能量密度和压力的普通理想流体制成，其状态方程为正压$p=kσ$和$0\le k\le1$。由此产生的配置表示一个复合虫洞，即薄物质壳与Schwarzschild样的外部区域和内部区域包含虫洞喉。

英文摘要：

We construct a new static spherically symmetric configuration composed of interior and exterior Brans-Dicke vacua matched at a thin matter shell. Both vacua correspond to the same Brans-Dicke coupling parameter $ω$, however they are described by the Brans class I solution with different sets of parameters of integration. In particular, the exterior vacuum solution has $C_{ext}(ω)\equiv 0$. In this case the Brans class I solution for any $ω$ reduces to the Schwarzschild one being consistent with restrictions on the post-Newtonian parameters following from recent Cassini data. The interior region possesses a strong gravitational field, and so the interior vacuum solution has $C_{int}(ω)=-1/(ω+2)$. In this case the Brans class I solution describes a wormhole spacetime provided $ω$ lies in the narrow interval $-2-\frac{\sqrt{3}}{3}<ω<-2$. The interior and exterior regions are matched at a thin shell made from an ordinary perfect fluid with positive energy density and pressure obeying the barotropic equation of state $p=kσ$ with $0\le k\le1$. The resulting configuration represents a composite wormhole, i.e. the thin matter shell with the Schwarzschild-like exterior region and the interior region containing the wormhole throat.

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