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arXiv 1302.4189astro-ph.COgr-qchep-phhep-th
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Einstein-Aether引力中磁场的产生

Generation of magnetic fields in Einstein-Aether gravity

Shohei Saga, Maresuke Shiraishi, Kiyotomo Ichiki, Naoshi Sugiyama

摘要:

最近,银河系际磁场$10^{-16} \sim 10^{-20}$高斯的下限是由伽马射线观测确定的,而通过天体物理过程不太可能产生如此大规模的磁场。我们已经知道,如果原始等离子体中存在宇宙学矢量模扰动,就可以产生大尺度的磁场。然而,如果等离子体是由理想流体组成的,那么在广义相对论中矢量模式只有一个衰减解。为了研究原始等离子体中磁生的可能机制,我们考虑了爱因斯坦-以太引力模型中的宇宙学扰动,其中以太场可以作为矢量度规扰动的一个新的来源,从而也可以作为磁场的一个新的来源.在这个模型中,我们估计了宇宙微波背景(CMB)各向异性的温度和B模偏振的角功率谱,并根据最近的观测结果对以太场参数进行了粗略的约束。然后,我们估计功率谱的相关磁场在此限制范围内的复合时代。发现该谱在$k=0.1 h{\rm Mpc^{-1}}$处有一个特征峰,在该尺度下,振幅可达$B\sim 10^{-22}$高斯,其上限来自于CMB温度各向异性。如果有足够的发电机机制,那么具有这种振幅的磁场可能是今天观测到的大尺度磁场的种子。给出了功率谱的解析解释。

英文摘要:

Recently the lower bounds of the intergalactic magnetic fields $10^{-16} \sim 10^{-20}$ Gauss are set by gamma-ray observations while it is unlikely to generate such large scale magnetic fields through astrophysical processes. It is known that large scale magnetic fields could be generated if there exist cosmological vector mode perturbations in the primordial plasma. The vector mode, however, has only a decaying solution in General Relativity if the plasma consists of perfect fluids. In order to investigate a possible mechanism of magnetogenesis in the primordial plasma, here we consider cosmological perturbations in the Einstein-Aether gravity model, in which the aether field can act as a new source of vector metric perturbations and thus of magnetic fields. We estimate the angular power spectra of temperature and B-mode polarization of the Cosmic Microwave Background (CMB) Anisotropies in this model and put a rough constraint on the aether field parameters from latest observations. We then estimate the power spectrum of associated magnetic fields around the recombination epoch within this limit. It is found that the spectrum has a characteristic peak at $k=0.1 h{\rm Mpc^{-1}}$, and at that scale the amplitude can be as large as $B\sim 10^{-22}$ Gauss where the upper bound comes from CMB temperature anisotropies. The magnetic fields with this amplitude can be seeds of large scale magnetic fields observed today if the sufficient dynamo mechanism takes place. Analytic interpretation for the power spectra is also given.

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