MODERN COSMOLOGY
Chapter 13 The debate on galaxy space distribution: an overview Marco Montuori and Luciano Pietronero Deptartment of Physics, Un ...
368 The debate on galaxy space distribution: an overview average of the product of the relative fluctuations in two volumes cent ...
Mass–length relation and conditional density 369 13.4 Mass–length relation and conditional density Themass–lengthrelation links ...
370 The debate on galaxy space distribution: an overview Assuming for simplicity a spherical sample volume with radiusRs(V(Rs)= ...
Galaxy surveys 371 13.7.1 Angular samples ξ(r)can be obtained from two-dimensional data, by means of the angular two- point func ...
372 The debate on galaxy space distribution: an overview Figure 13.1.ξ(r)measure in various VL galaxy samples. The general trend ...
(r)analysis 373 Figure 13.2. Full correlation for the same data of figure 13.1 in the range of distances 0.5–100h−^1 Mpc. A ref ...
374 The debate on galaxy space distribution: an overview Only in a single case, the LEDA database [17, 18], is it possible to r ...
Interpretation of standard results 375 Figure 13.3. Correlation length s 0 versus sample luminosityMlim,forseveralVL samples. VL ...
376 The debate on galaxy space distribution: an overview Mlim. Experimental uncertainities in the determination ofs 0 do not exp ...
References 377 [21] Benoist Cet al 1999 Astrophys. J. 514563 [22] Willmer C N A, da Costa L N and Pellegrini P S 1998Astrophys. ...
Chapter 14 Gravitational lensing Philippe Jetzer Laboratory for Astrophysics of PSI and Institute of Theoretical Physics Univers ...
Introduction 379 than luminous matter, the latter being in the form of stars and gas. There are also clear indications for the p ...
380 Gravitational lensing Figure 14.1. Giant arc in Cl2244-02 (image from CFHT). The lensing cluster is at z= 0 .329 and the sou ...
Lens equation 381 a galaxy acting as a source was discovered. The galaxy then appears distorted as one or more arcs. Many such s ...
382 Gravitational lensing effective refraction index, given by n= 1 − 2 c^2 = 1 + 2 c^2 ||. (14.1) The Newtonian potential is ...
Lens equation 383 The Schwarzschild radius for a body of massMis given by RS= 2 GM c^2 , (14.8) thus the absolute value of the d ...
384 Gravitational lensing Figure 14.2.Notation for the lens geometry. 14.2.3 Lens equation The geometry for a typical gravitatio ...
Lens equation 385 t=0. It will then proceed straight until it reaches the lens, located at the point I, and where it will be def ...
386 Gravitational lensing is thedeflection potential, which does not depend onη. The Fermat principle can thus be written as dt ...
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