Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galaxy number counts at second order: an independent approach   Next generation surveys will be capable of determining cosmological
parameters beyond percent level. To match this precision, theoretical
descriptions should look beyond the linear perturbations to approximate the
observables in large scale structure. A quantity of interest is the Number
density of galaxies detected by our instruments. This has been focus of
interest recently, and several efforts have been made to explain relativistic
effects theoretically, thereby testing the full theory. However, the results at
nonlinear level from previous works are in disagreement. We present a new and
independent approach to computing the relativistic galaxy number counts to
second order in cosmological perturbation theory. We derive analytical
expressions for the full second order relativistic observed redshift, for the
angular diameter distance and for the volume spanned by a survey. Finally, we
compare our results with previous works which compute the general
distance-redshift relation, finding that our result is in agreement at linear
order.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas