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Analysis of Voids in Analysis of Voids in the Large-Scale the Large-Scale
StructureStructure of the Universe of the Universe
Mahdi KhademMahdi Khadem
CosmologyCosmology
Cosmology is the science of studying Cosmology is the science of studying the Universe in its totality.the Universe in its totality.
It attempts to make sense of the It attempts to make sense of the large-scale nature of the material large-scale nature of the material world around us, by the method of world around us, by the method of the natural sciences.the natural sciences.
Structure FormationStructure Formation
Cosmic Microwave Background Cosmic Microwave Background radiation (CMB) gives us an radiation (CMB) gives us an exceedingly important probe of the exceedingly important probe of the history of structure formation in the history of structure formation in the evolving universe.evolving universe.
Large-scale structure of the Large-scale structure of the UniverseUniverse There are various structures in the There are various structures in the
Universe:Universe: Groups and ClustersGroups and Clusters Walls and filamentsWalls and filaments VoidsVoids
SDSS data and the CfA2 catalog
Voids
There is not a standard definition for There is not a standard definition for “void” in cosmology.“void” in cosmology. Weygaret and Kampen (1993):Weygaret and Kampen (1993):
Irregular low-density regions in the density Irregular low-density regions in the density fieldfield
El-Ad and Piran (1997)El-Ad and Piran (1997)Continues volumes that do not contain any Continues volumes that do not contain any
wall galaxies.wall galaxies. ……
Void Finding Process
We should have spatial coordinates for galaxies. We used the COSMOS data catalogue for 433065 galaxies:
Spatial constraints: 82684.15041145.149 RA 91275.249882.1 Dec
00.301.0 Zphoto
Converting RA and Dec to galactic longitude (l ) and galactic latitude (b) [6]:
Void Finding Process
25.1924912 mhNGP
4.27NGP
1230
Void Finding Process
Converting Zphoto to comoving distance:
Hubble’s law:
rVDtHCZV
rV cZ H t D V
CMBLGLGGSRGSRLSRLSRsunCMBsunr VVVVVV
118306 skmV LGsun 4.025.48,1.085.265 bl
122627 skmV CMBLG
329,3273 bl [3]
Void Finding Process
0H
cdH
. cos cos . cos sin . sinCMB helZ Z 50 3201 b l 251 621 b l 248 5953 b
Converting Zphoto to comoving distance:
z
km
H
zz
zddd
0 23 11
Einstein-de Sitter Universe:7.0,.0,3.0 km
LengthsHubbledH '
[5]
[7]
[7]
Mpc
skmH
1
0
.70
Void Finding Process
Void Finding Process
Making volume-limited samples:
Void Finding Process
Void finder algorithms: Void Finder (Piran 1997, Hoyle &
Vogeley 2002) CELL Void Finder (Patiri et al. 2005) HB Void Finder (Patiri et al. 2005)
Void Finding Process
Primary Results Mean Distance
3
1
n
V
Primary Results
Redshift accuracy:
ΔZ=0.01
Z=0.1 : Δd ≈ 40 Mpc
Z=2.5 : Δd ≈ 11 Mpc
Open Problems
Making algorithms to find voids in a narrow samples.
Analysis of voids in high-redshift Universe.
Time evolution of voids. …
References:عنبرانی، امیر؛ پایان نامه کارشناسی ارشد؛ دانشگاه فردوسی مشهد؛ 1.
13852. Cosmological evolution survey (COSMOS):
http://cosmos.astro.caltech.edu/index.html3. Courteau S., Van den Bergh S.; Thr Astronomical
Journal, 118:337-345, 19994. El-Ad H., Piran T.; Voids in the large-scale structure; The
astrophysical journal; 491:421-435, 19975. Erdogdu P. et al.; Mon. Not. Roy. Astron. Soc.; 368:1515-
1526; 20066. Johnson D. R. H., Soderblom D.; The Astronomical
Journal; 93: 864-867; 19877. Peebles P.J.E; Principles of Physical Cosmology;
Princeton University Press; 19938. Weygaret & Kampen; Voids in gravitational instability
scenarios; Mon. Not. Roy. Astron. Soc. 263: 481-526; 1993
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