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Physical mathematical aspects on the treatment of gravitational lensing on the cosmic microwave background

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Author(s):
Paulo Henrique Flose Reimberg
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Luis Raul Weber Abramo; Joao Carlos Alves Barata; George Emanuel Avraam Matsas; Thiago dos Santos Pereira; Alberto Vazquez Saa
Advisor: Luis Raul Weber Abramo
Abstract

The Boltzmann hierarchy describing the temperature and polarization of the cosmic microwave background is presented in a position space formalism. We show that temperature and polarization can be described in terms of averages over source terms weighted by probabilities densities that appear in problems of random flights. The temperature and polarization signals can be expanded in terms of the number of scatterings photons suffered during the recombination. The gravitational lensing effects are incorporated over the free-propagation phase of the CMB photons. This effect can be included in the position space formalism as a correction to the expansion coefficients of the temperature and polarization fields. The bases of the theory of gravitational lensing are also presented and a rederivation of the central equations of the theory in arbitrary spacetimes is here developed. (AU)

FAPESP's process: 09/09251-0 - CMB polarization: weak lensing in the causal formalism
Grantee:Paulo Henrique Flose Reimberg
Support Opportunities: Scholarships in Brazil - Doctorate