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arXiv · 2510.03711

Gravitomagnetic-Hydrodynamics and Turbulence in Early Universe

Jiaxiang Liang·Peng Xu·Minghui Du·Yifu Cheng·Zhan Wang·Ziren Luo·Manjia Liang
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Abstract

The nonlinear coupling between spacetime geometry and matter in the early Universe remains a frontier in theoretical cosmology. By introducing a novel gravitomagnetic-hydrodynamic framework, we reveal a fundamental analogy between magnetohydrodynamics and the co-evolution of spacetime geometry and relativistic plasma. We demonstrate that, in high-energy environments such as the electroweak phase transition, the (newly defined) gravitomagnetic Reynolds number becomes large, signifying a strongly coupled system where the gravitomagnetic field could be frozen into the fluid. This coupling inevitably leads to the emergence of gravitational Alfv\'en waves and could drive a transition to turbulence involving the dynamics of spacetime itself. Our findings suggest that gravitomagnetic-hydrodynamic turbulence may leave imprints on the stochastic gravitational wave background, offering a new window into the nonlinear dynamics of the primordial Universe.

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Jiaxiang Liang, Peng Xu, Minghui Du, Yifu Cheng, Zhan Wang, Ziren Luo, Manjia Liang. 2025-10-04. Gravitomagnetic-Hydrodynamics and Turbulence in Early Universe. https://arxiv.org/abs/2510.03711

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