eprintid: 24848
rev_number: 15
eprint_status: archive
userid: 3863
dir: disk0/00/02/48/48
datestamp: 2018-07-11 12:19:22
lastmod: 2018-09-05 09:40:30
status_changed: 2018-07-11 12:19:22
type: doctoralThesis
metadata_visibility: show
creators_name: Reischke, Robert Felix
title: Cosmology as a probe of gravity with future surveys
subjects: 530
divisions: 130300
adv_faculty: af-13
abstract: The subject of this thesis are different aspects of cosmology as a probe of the underlying
gravitational theory with future surveys.
In the first part of this work we discuss the parameter dependence of covariance matrices
of the power spectrum estimator of the large-scale structure. Its variation across parameter
space is calculated analytically by constructing a suitable basis and is then compared with
numerical simulations. The method presented is applicable to any matrix-valued function
which is everywhere positive-definite.
The second part investigates the influence of tidal gravitational fields on the formation
of dark matter halos at peaks in the density field of the large-scale structure. We extend
the spherical collapse model to incorporate the influence of shear and rotation by treating
them as inhomogeneities in the non-linear evolution equation. We investigate the statistics
of the tidal field and how it is inherited to the statistics of the critical over-density δc. It
is shown that the collapse in a tidal field will always proceed faster than the collapse in a
homogeneous background.
The last part investigates the combination of observations of weak gravitational lensing,
galaxy clustering and the cosmic microwave background and the cross-correlations between
the probes to investigate scalar-tensor theories of gravity. We carry out a Fisher analysis as
well as a Monte-Carlo-Markov-chain to estimate the expected statistical errors. The analysis
shows that gravitational theories can be constrained very well with future surveys.
date: 2018
id_scheme: DOI
id_number: 10.11588/heidok.00024848
ppn_swb: 1655670697
own_urn: urn:nbn:de:bsz:16-heidok-248486
date_accepted: 2018-04-18
advisor: HASH(0x564e1c2b3300)
language: eng
bibsort: REISCHKEROCOSMOLOGYA2018
full_text_status: public
place_of_pub: Heidelberg
citation:   Reischke, Robert Felix  (2018) Cosmology as a probe of gravity with future surveys.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/24848/1/PHD_Thesis_Final_Robert_Reischke.pdf