https://doi.org/10.1140/epjc/s10052-022-10907-8
Regular Article - Theoretical Physics
Exploring the self interacting dark matter properties from low redshift observations
1
Theoretical Physics Division, Physical Research Laboratory, Navarangpura, 380009, Ahmedabad, India
2
Indian Institute of Technology Gandhinagar, Palaj, 382355, Gandhinagar, India
Received:
29
June
2020
Accepted:
11
October
2022
Published online:
24
November
2022
We calculate the shear (
) and bulk viscosity (
) of Self Interacting Dark Matter (SIDM) fluid using the kinetic theory formalism. Using the astrophysical constraints on dark matter self-interaction cross section over mass 
, we demonstrate that viscous SIDM fluid violates the lower bound on the ratio of shear viscosity to its entropy density, 
. Then, considering the 
bound as universal, we derive a theoretical upper limit on the ratio of velocity average dark matter self interaction cross-section to its mass and also estimate an upper limit on SIDM mass. We report that mass of the SIDM particle should be sub-GeV scale. Furthermore, with the assumption of a power-law form of and , we study its evolution in the light of low redshift observations. We show that at the large redshift, the SIDM viscosity is small, but at the small redshift, it becomes sufficiently large and contributes significantly to cosmic dissipation. As a consequence, viscous SIDM can explain the low redshift observations and also consistent with the standard cosmological prediction.
© The Author(s) 2022
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