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arXiv 0806.0536hep-th
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正宇宙学常数时空中的宇宙弦

Cosmic strings in a space-time with positive cosmological constant

Yves Brihaye, Betti Hartmann

摘要:

我们在固定的de Sitter背景下研究阿贝尔弦。我们发现,规范场和希格斯场平滑地延伸穿过宇宙学视界,弦解在宇宙学视界外具有振荡标量场,对于所有目前公认的宇宙学常数值。如果规范与希格斯玻色子的质量比足够小,则规范场函数具有类似幂的行为,而如果希格斯玻色子和规范玻色子的质量相当,则它在宇宙学视界之外振荡。此外,我们观察到,阿贝尔弦只存在的宇宙学常数的最大值和两个分支的解决方案存在,满足在这个最大值。我们还构造了仅在宇宙学常数非零值时存在的径向激发解,因此与平坦时空相比是一个新特征。考虑到deSitter弦对时空的影响,我们观察到亏损角随宇宙学常数的增大而增大。因此,与渐近平坦的时空相比,透镜物体将被更大的角度分开。

英文摘要:

We study Abelian strings in a fixed de Sitter background. We find that the gauge and Higgs fields extend smoothly across the cosmological horizon and that the string solutions have oscillating scalar fields outside the cosmological horizon for all currently accepted values of the cosmological constant. If the gauge to Higgs boson mass ratio is small enough, the gauge field function has a power-like behaviour, while it is oscillating outside the cosmological horizon if Higgs and gauge boson mass are comparable. Moreover, we observe that Abelian strings exist only up to a maximal value of the cosmological constant and that two branches of solutions exist that meet at this maximal value. We also construct radially excited solutions that only exist for non-vanishing values of the cosmological constant and are thus a novel feature as compared to flat space-time. Considering the effect of the de Sitter string on the space-time, we observe that the deficit angle increases with increasing cosmological constant. Lensed objects would thus be separated by a larger angle as compared to asymptotically flat space-time.

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