Large Scale value of $\delta_g/4+2\Phi$

Use of Healpix, camb, CLASS, cosmomc, compilers, etc.
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Muhammad Junaid
Posts: 7
Joined: January 05 2017
Affiliation: University of Alberta

Large Scale value of $\\delta_g/4+2\\Phi$

Post by Muhammad Junaid » May 16 2017

Hi, I am plotting the value of [tex]\delta_g/4+2\Phi[/tex] from the transfer function output file. If you look at its value at large scales ([tex]k=6.96268e-06[/tex]) it's value come out to be ~[tex]0.9[/tex] rather than the Saachs Wolfe factor of [tex]1/5[/tex] or [tex]1/3[/tex]. So, I wanted wanted to ask where I am going wrong with my understanding.
Thanks,
M.J.

Antony Lewis
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Joined: September 23 2004
Affiliation: University of Sussex
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Re: Large Scale value of $\\\\delta_g/4+2\\\\Phi$

Post by Antony Lewis » May 16 2017

Firstly make sure you are using Newtonian gauge [tex]\delta g[/tex] not the synchronous gauge one output by default. Secondly there are corrections from neutrino anisotropic stress and recombination not being exactly matter dominated.

Muhammad Junaid
Posts: 7
Joined: January 05 2017
Affiliation: University of Alberta

Large Scale value of $\\delta_g/4+2\\Phi$

Post by Muhammad Junaid » May 16 2017

So how can I get the transfer functions in Newtonian gauge or gauges other then synchronous gauge.

Antony Lewis
Posts: 1353
Joined: September 23 2004
Affiliation: University of Sussex
Contact:

Re: Large Scale value of $\\\\delta_g/4+2\\\\Phi$

Post by Antony Lewis » May 18 2017

There's no direct way to get that, you'd have to construct the corresponding gauge invariant combination of synchronous gauge density and shear (which you could infer from the output synchronous gauge density, Newtonian-gauge CDM velocity and the Hubble parameter, using relations described in the CAMB notes p22).

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