On the 1/3 factor in the CMB Sachs-Wolfe effect

Details On the 1/3 factor in the CMB Sachs-Wolfe effect On the 1/3 factor in the CMB Sachs-Wolfe effect

2001-07-17

arxiv.org/abs/astro-ph/0107307v2

Phys.Rev. D65 (2002) 043005

Astronomy and Astrophysics

Astrophysics

4 pages, minor changes; accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.043005

We point out that a pseudo-Newtonian interpretations of the $(1/3)$ factor in the Sachs-Wolfe effect, which relates the fluctuations in temperature and potential, $(\delta T/ T) = (1/ 3) \delta \Phi$, is not supported by the General Relativistic analysis. Dividing the full gravitational effect into separate parts depends on the choice of time slicing (gauge) and there exist infinitely many different choices. More importantly, interpreting the parts as being due to the gravitational redshift and the time dilation is not justified in the rigorous relativistic perturbation theory. We suggest to regard the $(1/3)$ factor as the General Relativistic result which applies in a restricted situation of adiabatic perturbation in the $K = 0 = \Lambda$ model with the last scattering occuring in the matter dominated era. For an isocurvature initial condition the corresponding result, $(\delta T/ T) = 2 \delta \Phi$, has a different numerical coefficient.

Affiliated with

Also associated with

No associations

Rating

On the 1/3 factor in the CMB Sachs-Wolfe effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the 1/3 factor in the CMB Sachs-Wolfe effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the 1/3 factor in the CMB Sachs-Wolfe effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641983