Title: Twisting the ΛCDM spacetime with general-relativistic simulations

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Abstract:
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N-body simulations have proven essential for understanding the vorticity of dark matter in cosmic structure formation. In General Relativity, rotational matter flows give rise to a gravitomagnetic vector potential which is responsible for frame dragging. The faint signals of these effects remain a challenge for modern cosmology and could be relevant for future experiments.

In this talk, I will give an overview of recent efforts to model the cosmic vorticity field and the gravitomagnetic potential in ΛCDM. I will discuss some of my work on this based on a high-resolution, general-relativistic N-body simulation run with the GRAMSES code, which allows the exploration from large sub-horizon scales down to deeply into the nonlinear regime. I will highlight some differences with respect to previous findings, and I will give particular attention to the behaviour of the gravitomagnetic potential in dark matter haloes and the corresponding force acting on such structures.