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arXiv 1104.2857astro-ph.COgr-qchep-phhep-th
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原始涡度和梯度展开

Primordial vorticity and gradient expansion

Massimo Giovannini, Zahra Rezaei

摘要:

在完全非均匀的几何条件下,结合广义相对论梯度展开和Adler-Misner-Deser分解中的漂移近似,导出了预解耦等离子体中电子、离子和光子的涡旋演化方程.在这个新的框架中讨论了不同物种之间的涡度传递,并导出了一组将三组分等离子体的涡度与磁场强度联系起来的一般守恒律。在证明了大尺度涡量的来源存在于几何形状和电磁源的空间梯度中之后,总涡量被估计为空间梯度中的最低阶,并且通过强制执行动量约束的有效性。通过承认$Λ$ CDM范例的(最小)张量扩展中张量与标量比的当前界限,由总涡度引起的最大共动磁场在1到10 Mpc之间的典型共动尺度上最多为$10^{-37}$ G的量级。虽然所获得的结果似乎是无关的播种一个合理的银河发电机行动,他们展示了如何建议完全不均匀的治疗可以用于系统的审查前去耦等离子体超出传统的微扰膨胀。

英文摘要:

The evolution equations of the vorticities of the electrons, ions and photons in a pre-decoupling plasma are derived, in a fully inhomogeneous geometry, by combining the general relativistic gradient expansion and the drift approximation within the Adler-Misner-Deser decomposition. The vorticity transfer between the different species is discussed in this novel framework and a set of general conservation laws, connecting the vorticities of the three-component plasma with the magnetic field intensity, is derived. After demonstrating that a source of large-scale vorticity resides in the spatial gradients of the geometry and of the electromagnetic sources, the total vorticity is estimated to lowest order in the spatial gradients and by enforcing the validity of the momentum constraint. By acknowledging the current bounds on the tensor to scalar ratio in the (minimal) tensor extension of the $Λ$CDM paradigm the maximal comoving magnetic field induced by the total vorticity turns out to be, at most, of the order of $10^{-37}$ G over the typical comoving scales ranging between 1 and 10 Mpc. While the obtained results seem to be irrelevant for seeding a reasonable galactic dynamo action, they demonstrate how the proposed fully inhomogeneous treatment can be used for the systematic scrutiny of pre-decoupling plasmas beyond the conventional perturbative expansions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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