Paulo Custodio
FMU, Computer Science, Faculty Member
Aqui está um resumo sobre o conteúdo do meu curso na Udemy: Introdução à Física dos Buracos Negros. No arquivo encontram-se os detalhes sobre o importante formalismo de Cartan para a obtenção de métricas importantes (ainda em elaboração).
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It is a draft of a no-recursive algorithm to factorize integers in primes. It is necessary to modify it and do some alterations.
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Este capítulo é uma breve introdução ao cálculo de tensores e equações de Einstein, uma preparação para os capítulos sobre a obtenção da métrica de Schwarzschild.
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Nesta primeira seção apresento um resumo sobre Mecânica Relativística e uma rápida revisão sobre Operadores Diferenciais. Esta é a apresentação de um curso mais extenso sobre Buracos Negros, a ser apresentado em seções diversas, esta é a... more
Nesta primeira seção apresento um resumo sobre Mecânica Relativística e uma rápida revisão sobre Operadores Diferenciais. Esta é a apresentação de um curso mais extenso sobre Buracos Negros, a ser apresentado em seções diversas, esta é a primeira delas.
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The formation of Primordial Black Holes is a robust prediction of several gravitational theories. Whereas the creation of PBHs was very active in the remote past, such process seem to be very negligible at the present epoch. In this work,... more
The formation of Primordial Black Holes is a robust prediction of several gravitational theories. Whereas the creation of PBHs was very active in the remote past, such process seem to be very negligible at the present epoch. In this work, we estimate the fraction of PBHs (in terms of the critical density) formed from the high-energy collision of particles before Inflation, when the temperatures were close to Planck values. We consider that the Universe has dimension D, and we evaluate the e-folds number in order get a universe free from such Primordial Black Holes. Finally, the Holographic constraint is used to estimate upper bounds to temperature and mass of PBHs with monochromatic spectrum.
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introdução básica à programação em C#
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The formation of Primordial Black Holes is a robust prediction of several gravitational theories. Whereas the creation of PBHs was very active in the remote past, such process seem to be very negligible at the present epoch. In this work,... more
The formation of Primordial Black Holes is a robust prediction of several gravitational theories. Whereas the creation of PBHs was very active in the remote past, such process seem to be very negligible at the present epoch. In this work, we estimate the effects from the radiation surrounding PBHs due to the absorption term in the equations that describe how their masses depend on time. The Hawking radiation contributes with mass loss and the absorption term contributes with gain, but a interesting competition between these terms is analysed. These effects are included in the equations describing PBHs and its mass density as the universe evolves in time and the model is able to describes the evolution of the numerical density of PBHs and the mass evolution and comparisons with cosmological constraints set upper limits in their abundances. We evaluate the effect of this accretion onto PBHs and we get some corrections for the initial masses that indicates some deviations from default values for the time scale for evaporation. The scale time of the PBHs in the early universe is modified due to the energy accretion and we can estimate how these contributions may alter the standard model of PBHs.
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In this small lecture we deduce the transformation between Scharschild into Kruskal-Szekeres metric (introduction to relativity)