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Dark matter and dark energy in the Coma Cluster

Dark matter and dark energy in the Coma Cluster. A.D. Chernin, G.S. Bisnovatyi-Kogan Collaborators: P. Teerikorpi, M.J. Valtonen, G.G. Byrd, M. Merafina. HST: Coma is the largest well-studied cluster of galaxies. HST. ROSAT: COMA IN X-RAYS.

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Dark matter and dark energy in the Coma Cluster

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  1. Dark matter and dark energy in the Coma Cluster A.D. Chernin, G.S. Bisnovatyi-Kogan Collaborators: P. Teerikorpi,M.J. Valtonen, G.G. Byrd, M. Merafina

  2. HST: Coma is the largest well-studied cluster of galaxies HST

  3. ROSAT: COMA IN X-RAYS

  4. Planck: COMA in CMB (SZ)

  5. COMA CLUSTER (Abell 1656) Zwicky (1933): DARK MATTER DISCOVERY (2012): UPPER BOUND to the COMA DARK MATTER MASS & DETECTION of DARK ENERGY inside COMA

  6. Coma mass (h = 0.7) Zwicky (1933): M = 3 • 1014 Msun Colles (2006): M = 4.4 • 1014 Msun, R = 1.4 Mpc The & White (1999): M = 1.9 • 1015 Msun, R = 3 Mpc Hughes (1989): M = 1.7 • 1015 Msun, R = 3 Mpc Kubo et al. (2007): M = 2.6 • 1015 Msun, R = 4.8 Mpc Geller et al. (2011): M = 2.5 • 1015 Msun, R = 14 Mpc

  7. COMA: DE MASS ME(R) = (4/3) EeffR3 = − (8/3) ER3 E = 0.7 • 10-29 g/cm3 Eeff = E + 3 pE = -2 E, (pE = - E, c=1) R = 14 Mpc: ME = - 2.5 • 1015 Msun | MDE | ≈ M (Geller) !

  8. COMA: DM MASS MM(R) =4 (R) R2 dr COMA: GRAVITATING MASS MG = MM + ME R = 14 Mpc: MG = M(Geller) = MM - ME MM ≈ 2 M(Geller)

  9. NFW DENSITY PROFILE  (R) = 4 (R0)[R/R0(1+ R/R0)2]-1 MM(R) = = 16  0R03 [ln(1 + R/R0) − R/R0(1 + R/R0)-1] With data on R = 1.4 Mpc and R = 4.8 Mpc: 0 = 2 • 10-28 g/cm3, R0 = 5 Mpc

  10. SYSTEM IS GRAVITATIONALLY BOUND, IF MG = MM + ME > 0 FROM THIS , UPPER LIMITS: Rupper= 20 Mpc, MMupper = 9 • 1015 Msun

  11. DARK ENERGY ESTIMATOR x = | ME | [(8/3) R3]-1 ME = MG - MM R = 14 Mpc: MG = 2.5 • 1015 Msun MM = 7.9 • 1015Msun (NFW) ME = - 5.4 • 1015 Msun x = 1.7 • 10-29 g/cm3

  12. NEW DENSITY PROFILE  (R) = (3/4) M*R* [R+ R*]-4 MM(R) = M* R3 (R + R*)-3 With data on R = 1.4 Mpc and R = 4.8 Mpc: Rupper = 17 Mpc, MMupper = 7 • 1015 Msun

  13. DARK ENERGY ESTIMATOR x = | ME | [(8/3) R3]-1 WITH ALL THE UNCERTAINTIES in DM PROFILES and OBSERVATIONAL DATA x = (0.5 – 2) • 10-29 g/cm3 A NEW INDEPENDENT EMPIRICAL EVIDENCE for EINSTEIN’S IDEA of THE COSMOLOGICAL CONSTANT

  14. COMA CLUSTER Zwicky (1933): DARK MATTER DISCOVERY (2013): *UPPER BOUND to the COMA DARK MATTER MASS: MMupper = 7 • 1015 Msun *DETECTION of DARK ENERGY inside COMA: x = (0.5 – 3) • 10-29 g/cm3

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