LARANJEIRA, R.; http://lattes.cnpq.br/6951735654710568; LARANJEIRA, Rafaela.
Abstract:
The spectra of observable cosmological powers contain a range of information about the
evolution of the Universe. They are used to restrict cosmological parameters through
data extraction, for example, the Baryonic Acoustic Oscillations and thus, investigate the
characteristics of dark components, mainly dark energy, considered as responsible for the
current phase of expansion of the Universe. In view of this, our study provides the basic
theoretical foundations necessary for understanding and formulating the power spectra:
linear of matter and angular of 21-cm. Throughout this dissertation we approach the basic
principles of cosmology, cosmological observations, Baryonic Acoustic Oscillations and the
21-cm line. In addition, we discuss the theory of linear cosmological fluctuations, in which
we find the function of growth of matter disturbances and present the Boltzmann equations.
We obtain the mathematical expressions of the linear power spectra of matter and angular
21-cm, we report some experiments that provide (or will provide) data to Model these
spectra and that help to improve the values of the cosmological parameters. We show
textitfittings of power spectra that we have reproduced and some obtained by other works.
We present definitions of power spectra of a Cosmological Model of Interaction between
dark matter and dark energy that we intend to study in the future, in order to analyze
the growth of large-scale structures.