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Vector modes in ΛCDM: the gravitomagnetic potential in dark matter haloes from relativistic N-body simulations

Barrera-Hinojosa, Cristian and Li, Baojiu and Bruni, Marco and He, Jian-hua (2021) 'Vector modes in ΛCDM: the gravitomagnetic potential in dark matter haloes from relativistic N-body simulations.', Monthly notices of the Royal Astronomical Society, 501 (4). pp. 5697-5713.


We investigate the transverse modes of the gravitational and velocity fields in Λ cold dark matter, based on a high-resolution simulation performed using the adaptive-mesh refinement general-relativistic N-body code GRAMSES. We study the generation of vorticity in the dark matter velocity field at low redshift, providing fits to the shape and evolution of its power spectrum over a range of scales. By analysing the gravitomagnetic vector potential, that is absent in Newtonian simulations, in dark matter haloes with masses ranging from ∼1012.5 to ∼1015 h−1 M⊙, we find that its magnitude correlates with the halo mass, peaking in the inner regions. Nevertheless, on average, its ratio against the scalar gravitational potential remains fairly constant, below percent level, decreasing roughly linearly with redshift and showing a weak dependence on halo mass. Furthermore, we show that the gravitomagnetic acceleration in haloes peaks towards the core and reaches almost 10−10h cm s−2 in the most massive halo of the simulation. However, regardless of the halo mass, the ratio between the gravitomagnetic force and the standard gravitational force is typically at around the 10−5 level inside the haloes, again without significant radius dependence. This result confirms that the gravitomagnetic effects have negligible impact on structure formation, even for the most massive structures, although its behaviour in low-density regions remains to be explored. Likewise, the impact on observations remains to be understood in the future.

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Publisher statement:This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society. ©: 2021 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
Date accepted:21 December 2020
Date deposited:02 July 2021
Date of first online publication:05 January 2021
Date first made open access:02 July 2021

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