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arXiv 1504.03709gr-qc
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原始磁场中带电等离子体的线性度规和温度涨落

Linear metric and temperature fluctuations of a charged plasma in a primordial magnetic field

Z. Haba

摘要:

讨论了膨胀宇宙中无质量粒子均匀Juttner平衡点周围磁场中的张量度规扰动。我们求解了Liouville方程,导出了能量动量张量在度规和磁场中的线性项,如果原始等离子体的总电荷不为零,则在磁场中的线性项不为零。把张量度规扰动和磁场作为独立的随机变量,得到了温度涨落的解析公式。假设一个截止的大动量的磁谱函数,我们表明,存在的磁场可以区分只有低多极的温度波动的多极展开。在这种情况下,磁场中的线性项可能比二次项(对应于纯磁场的波动)更重要。

英文摘要:

We discuss tensor metric perturbations in a magnetic field around the homogeneous Juttner equilibrium of massless particles in an expanding universe. We solve the Liouville equation and derive the energy-momentum tensor up to linear terms in the metric and in the magnetic field.The term linear in the magnetic field is different from zero if the total charge of the primordial plasma is non-zero. We obtain an analytic formula for temperature fluctuations treating the tensor metric perturbations and the magnetic field as independent random variables. Assuming a cutoff on large momenta of the magnetic spectral function we show that the presence of the magnetic field can discriminate only low multipoles in the multipole expansion of temperature fluctuations. In such a case the term linear in the magnetic field can be more important than the quadratic one (corresponding to the fluctuations of the pure magnetic field).

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