Download presentation
Presentation is loading. Please wait.
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 10 14 M sun Colles (2006): M = 4.4 10 14 M sun, R = 1.4 Mpc The & White (1999): M = 1.9 10 15 M sun, R = 3 Mpc Hughes (1989): M = 1.7 10 15 M sun, R = 3 Mpc Kubo et al. (2007): M = 2.6 10 15 M sun, R = 4.8 Mpc Geller et al. (2011): M = 2.5 10 15 M sun, R = 14 Mpc
7
COMA: DE MASS M E (R) = (4 /3) Eeff R 3 = − (8 /3) E R 3 E = 0.7 10 -29 g/cm 3 Eeff = E + 3 p E = -2 E, (p E = - E, c=1) R = 14 Mpc: M E = - 2.5 10 15 M sun | M DE | ≈ M (Geller) !
8
COMA: DM MASS M M (R) = 4 (R) R 2 dr COMA: GRAVITATING MASS M G = M M + M E R = 14 Mpc: M G = M(Geller) = M M - M E M M ≈ 2 M(Geller)
9
NFW DENSITY PROFILE (R) = 4 (R 0 )[R/R 0 (1+ R/R 0 ) 2 ] -1 M M (R) = = 16 0 R 0 3 [ln(1 + R/R 0 ) − R/R 0 (1 + R/R 0 ) -1 ] With data on R = 1.4 Mpc and R = 4.8 Mpc: 0 = 2 10 -28 g/cm 3, R 0 = 5 Mpc
![NFW DENSITY PROFILE (R) = 4 (R 0 )[R/R 0 (1+ R/R 0 ) 2 ] -1 M M (R) = = 16 0 R 0 3 [ln(1 + R/R 0 ) − R/R 0 (1 + R/R 0 ) -1 ] With data on R = 1.4 Mpc and R = 4.8 Mpc: 0 = g/cm 3, R 0 = 5 Mpc](http://images.slideplayer.com/15/4762073/slides/slide_9.jpg "NFW DENSITY PROFILE (R) = 4 (R 0 )[R/R 0 (1+ R/R 0 ) 2 ] -1 M M (R) = = 16 0 R 0 3 [ln(1 + R/R 0 ) − R/R 0 (1 + R/R 0 ) -1 ] With data on R = 1.4 Mpc and R = 4.8 Mpc: 0 = g/cm 3, R 0 = 5 Mpc")
10
SYSTEM IS GRAVITATIONALLY BOUND, IF M G = M M + M E > 0 FROM THIS, UPPER LIMITS: R upper = 20 Mpc, M Mupper = 9 10 15 M sun
11
DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 M E = M G - M M R = 14 Mpc: M G = 2.5 10 15 M sun M M = 7.9 10 15 M sun (NFW) M E = - 5.4 10 15 M sun x = 1.7 10 -29 g/cm 3
![DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 M E = M G - M M R = 14 Mpc: M G = M sun M M = M sun (NFW) M E = M sun x = g/cm 3](http://images.slideplayer.com/15/4762073/slides/slide_11.jpg "DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 M E = M G - M M R = 14 Mpc: M G = M sun M M = M sun (NFW) M E = M sun x = g/cm 3")
12
NEW DENSITY PROFILE (R) = ( 3/4 ) M * R * [R+ R * ] -4 M M (R) = M * R 3 (R + R * ) -3 With data on R = 1.4 Mpc and R = 4.8 Mpc: R upper = 17 Mpc, M Mupper = 7 10 15 M sun
![NEW DENSITY PROFILE (R) = ( 3/4 ) M * R * [R+ R * ] -4 M M (R) = M * R 3 (R + R * ) -3 With data on R = 1.4 Mpc and R = 4.8 Mpc: R upper = 17 Mpc, M Mupper = M sun](http://images.slideplayer.com/15/4762073/slides/slide_12.jpg "NEW DENSITY PROFILE (R) = ( 3/4 ) M * R * [R+ R * ] -4 M M (R) = M * R 3 (R + R * ) -3 With data on R = 1.4 Mpc and R = 4.8 Mpc: R upper = 17 Mpc, M Mupper = M sun")
13
DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 WITH ALL THE UNCERTAINTIES in DM PROFILES and OBSERVATIONAL DATA x = (0.5 – 2) 10 -29 g/cm 3 A NEW INDEPENDENT EMPIRICAL EVIDENCE for EINSTEIN’S IDEA of THE COSMOLOGICAL CONSTANT
![DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 WITH ALL THE UNCERTAINTIES in DM PROFILES and OBSERVATIONAL DATA x = (0.5 – 2) g/cm 3 A NEW INDEPENDENT EMPIRICAL EVIDENCE for EINSTEIN’S IDEA of THE COSMOLOGICAL CONSTANT](http://images.slideplayer.com/15/4762073/slides/slide_13.jpg "DARK ENERGY ESTIMATOR x = | M E | [(8 /3) R 3 ] -1 WITH ALL THE UNCERTAINTIES in DM PROFILES and OBSERVATIONAL DATA x = (0.5 – 2) g/cm 3 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: M Mupper = 7 10 15 M sun *DETECTION of DARK ENERGY inside COMA: x = (0.5 – 3) 10 -29 g/cm 3
Similar presentations
