Discovered Errors in

Modern Cosmological Observations and Problems

While we hope there aren't any, that would be unrealistic. The following is the discovered list to date:

Equation 1.7b: In d²y/dt² there is a - sign instead of + before the second bracket (the acceleration term in theta direction is with + sign) that is multiplied with cos(theta)

Page 14: We have a new particle, apparently here called the AUTIQUARK. Maybe that is the missing mass? In any event, this should be antiquark

Equation 1.10: The metric could also be defined using sin² (fi) instead of cos²

Equation 1.19: Big time Opps here:

• In the derivative of volume with respect to the spatial coordinate r written in the parenthesis is erroneus. (instead of a factor 3, there should be 4*\pi)

• In the equation (1.19) itself there should be (V-dot)/V) instead of dV/V (that multiplies -(rho+p))

Equation 1.27: There is a sign error. The Right Hand Side of the equation should be -(K/R²) this convention is such that a positive value of K means thaT the change in the scale factor grows less slowly (due to more mass/gravitational attraction in a K=+1 cosmology compared to K=-1).

Figure 2.1: Somehow the term Supernovae got transferred by the publisher to Supermovie. Cool ... Also, TE relation should be TF (Tully Fisher Relation).

Page 39: An egregious error here. The amplitude of variation of a Cepheid decreases with increasing wavelength. By the time you get to the infrared, the variability is very difficult to detect. So there is a trade off between detection of variability and the effects of dust. As a result, the I-band seems to be the optimal wavelength for Cepheid detection given these two limitations.

Page 69: Third line from the bottom: If (m-M)=31.01+/-0.17 it corresponds to 15.92 Mpc and not 17.02 as stated in the parenthesis.

Page 76: In the subsection on Gravitational Lensing, the first occurence of the word unknown should be known .

Equation 3.11: Opps - don't know how this one came to be but this should be:

1.2 x 10⁹ * (R_Mpc/V_{r (1000 km/s)}) yrs

Page 98: V_r³ is in error in equation 3.25 the 3 should be outside the bracket

Page 99: Equation 3.26 There are two large brackets missing so that the entire should be to the ^-1 power as correctly stated in the text 3 lines above.

Page 107, second line from the bottom: the word as should be has

Section numbering in chapter 3 is incorrect. Section 3.3 is missing I wonder what should have been there?

Page 141: The capital J in 4.6a and 4.6b should be a small j.

Page 141: Equation 4.6e has two minus signs in a row, oops...

Page 146: Major goof here: equations 4.11 and 4.11a should all be of the form exp(-R); the rest of the derivation is okay. If it were actually plus R, the total masses of galaxies would be infinite - something we can rule out from observations ...

Page 186: equation 5.7 is missing the right hand double paranthesis

Page 191: equation 5.22b the first term should be dv'/dt not d rho'/dt

Page 194: Third equation under section 5.15 is missing a '+' sign on the LHS between the second time derivative and the 4/3 term.