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
COMA CLUSTER (Abell 1656)
Zwicky (1933): DARK MATTER DISCOVERY
(2012): UPPER BOUND to the COMA DARK MATTER MASS &
DETECTION of DARK ENERGY inside COMA
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
COMA: DE MASS
ME(R) = (4/3) Eeff R3 = − (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) !
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)
NFW DENSITY PROFILE
(R) = 4 (R0)[R/R0(1+ R/R0)2]-1
MM(R) =
= 16 0 R03 [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
SYSTEM IS GRAVITATIONALLY
BOUND, IF
MG = MM + ME > 0 FROM THIS , UPPER LIMITS:
Rupper = 20 Mpc, MMupper = 9 • 1015 Msun
DARK ENERGY ESTIMATOR
x = | ME | [(8/3) R3]-1
ME = MG - MM
R = 14 Mpc: MG = 2.5 • 1015 Msun
MM = 7.9 • 1015 Msun (NFW)
ME = - 5.4 • 1015 Msun
x = 1.7 • 10-29 g/cm3
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
DARK ENERGY ESTIMATOR
x = | ME | [(8/3) R3]-1
WITH ALL THE UNCERTAINTIESin 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