9421 10.1140/epjc/s10052-021-09421-0 596 31 Probing the dark matter density evolution law with large scale structures 02 Physical Sciences 0201 Astronomical and Space Sciences Regular Article - Theoretical Physics 1 7 2021 7 5 2021 5 6 2021 7 4 2021 7 9 The Author(s) 2021 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ . Funded by SCOAP3 10052 81 81 7 7 Kamal Bora ph18resch11003@iith.ac.in R. F. L. Holanda holandarfl@fisica.ufrn.br Shantanu Desai shntn05@gmail.com grid.459612.d 0000 0004 1767 065X Department of Physics Indian Institute of Technology, Hyderabad Kandi Telangana 502285 India grid.411233.6 0000 0000 9687 399X Departamento de Física Universidade Federal do Rio Grande do Norte Natal Rio Grande do Norte 59072-970 Brazil grid.411182.f 0000 0001 0169 5930 Departamento de Física Universidade Federal de Campina Grande Campina Grande PB 58429-900 Brazil grid.411252.1 0000 0001 2285 6801 Departamento de Física Universidade Federal de Sergipe Aracaju SE 49100-000 Brazil Abstract We propose a new method to explore a possible departure from the standard time evolution law for the dark matter density. We looked for a violation of this law by using a deformed evolution law, given by ρ c ( z ) ∝ ( 1 + z ) 3 + ϵ , and then constrain ϵ . The dataset used for this purpose consists of Strong Gravitational Lensing data obtained from SLOAN Lens ACS, BOSS Emission-line Lens Survey, Strong Legacy Survey SL2S, and SLACS; along with galaxy cluster X-ray gas mass fraction measurements obtained using the Chandra Telescope. Our analyses show that ϵ is consistent with zero within 1 σ c.l., but the current dataset cannot rule out with high confidence level interacting models of dark matter and dark energy.