非对称弯曲时空和非平凡真空Refractive Index中的体光子
Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
摘要：
我们考虑不对称翘曲膜模型，或等效膜模型的背景度量的特点是不同的时间和空间的翘曲因子。这些模型的主要特点是，4D洛仑兹对称性是违反了在体中传播的场，如引力子。在本文中，我们研究的情况下，大量的光子在非对称扭曲膜模型。虽然我们的结果是一般性的，我们在这里检查两个具体的，但特征的解决方案：1）AdS-Schwarzschild 5D黑洞解和2）AdS-Reissner Nordstrom 5D黑洞解。我们发现，标准的洛伦兹不变的色散关系的4D光子被校正的非线性项，导致一个能量依赖的光速。具体地说，我们得到了一个亚光能量依赖的折射率，其形式为n_{eff}（ω）=1+ c_{G} ω^2，其中ω是光子的能量，因子c_G总是正的，并且依赖于模型的自由参数。最后，比较结果与最近的数据从魔术望远镜，声称延迟到达的光子从活动星系核的MK 501，我们施加具体的限制，在这项工作中检查的两套模型。我们还将简要地讨论对我们的模型的其他可能的天体物理约束。
英文摘要：
We consider asymmetrically warped brane models, or equivalently brane models where the background metric is characterized by different time and space warp factors. The main feature of these models is that 4D Lorentz symmetry is violated for fields which propagate in the bulk, such as gravitons. In this paper we examine the case of bulk photons in asymmetrically warped brane models. Although our results are general, we examine here two specific but characteristic solutions: 1) AdS-Schwarzschild 5D Black Hole solution and 2) AdS-Reissner Nordstrom 5D Black Hole solution. We show that the standard Lorentz invariant dispersion relation for 4D photons is corrected by nonlinear terms which lead to an Energy-dependent speed of light. Specifically, we obtain a sub-luminous Energy-dependent refractive index of the form n_{eff}(ω)=1+c_{G} ω^2, where ωis the energy of the photon, and the factor c_G is always positive and depends on the free parameters of the model. Finally, comparing the results with recent data from the MAGIC Telescope, claiming a delayed arrival of photons from the Active Galactic Nucleus of Mk501, we impose concrete restrictions to the two sets of models examined in this work. We shall also discuss briefly other possible astrophysical constraints on our models.
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