暗物質問題中的加速度關係(3/3)

The tight kinematic and dynamical scaling relations are the key issues to understand gravity. For example, we have Kepler’s law as a kinematic relation and Newton’s law as a dynamic relation in the Solar system. However, both cannot apply to the galactic systems and beyond — this led to the famous “dark matter” problem in astrophysics. In spirals and ellipticals, the radial acceleration relation (RAR) is revealed as a tight dynamical relation with an acceleration scale of about 10-10 ms-2. Additionally, the RAR's low acceleration limit implied kinematic relations, e.g., Baryonic Tully-Fisher relation (BTFR) in spirals and Baryonic Faber-Jackson relation (BFJR) in ellipticals. More recently, we reveal a similar RAR in the galaxy clusters and brightest cluster galaxies (BCGs) with a larger acceleration scale of about 10-9 ms-2 with 20 galaxy clusters targeted by the Cluster Lensing And Supernova survey with Hubble (CLASH). This CLASH RAR also predicted a kinematic scaling relation, i.e., a mass-velocity dispersion relation (MVDR) in the BCG-cluster scale. In the proposal, I will fully explore the RAR, the CLASH RAR, the MVDR, the BFJR in ellipticals, dwarfs, BCGs, galaxy clusters, and its implications for the dark matter model or modified gravity. In total, I expect seven more papers produced by this proposal in three years.