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Previous issue date: 2015-03-02 / The fact that the universe is expanding with acceleration and that only 5% of its content of matter
is baryonic suggests, in principle, the possibility of new alternatives to Einstein’s theory of gravity,
as proposed throught the last years. Among them, the so called f(R) theories received a great
deal of attention. In this dissertation, we will present these theories in two main formulations and
study some solutions, specially, the spherical and axially symmetrical ones. Our aim is to show
that such f(R) theories do not satisfy the observational constraints related to the solar system,
and as a consequence of this, are not good candidates to substitute Einstein’s theory of gravity.
Their results, however, are important to increase our knowledge related to alternative gravitational
theories. We will also consider a solution which corresponds to a global monopole in f(R), and
apply a method due to Newman and Janis to construct the corresponding solution, with rotation. / O fato de que o universo est´a se expandindo de modo acelerado e de que apenas 5% de sua composi
¸c˜ao ´e de mat´eria bariˆonica conhecida sugerem, em princ´ıpio, a possibilidade de alternativas `a
gravita¸c˜ao de Einstein, conforme foram propostas nos ´ultimos anos. Dentre as quais, receberam
maior aten¸c˜ao as chamadas teorias f(R). Nesta disserta¸c˜ao iremos apresentar estas teorias em
suas duas principais formula¸c˜oes e estudar algumas de suas solu¸c˜oes, em especial as solu¸c˜oes esfericamente
e axialmente sim´etricas. Nosso objetivo ´e mostrar que tais teorias f(R) n˜ao satisfazem
os principais v´ınculos observacionais relativos ao sistema solar, e em consequˆencia disso n˜ao s˜ao
boas candidatas para substituir a teoria da gravita¸c˜ao de Einstein, ainda que seus resultados sejam
importantes para aumentar nosso atual conhecimento acerca das teorias alternativas `a gravita¸c˜ao.
Iremos considerar tamb´em a solu¸c˜ao que corresponde ao monopolo global em f(R), e aplicar o
m´etodo de Newman-Janis para construir a solu¸c˜ao correspondente, com rota¸c˜ao.
| Identifer | oai:union.ndltd.org:IBICT/oai:tede.biblioteca.ufpb.br:tede/8007 |
| Date | 02 March 2015 |
| Creators | Graça, João Paulo Morais graça |
| Contributors | Bezerra, Valdir Barbosa |
| Publisher | Universidade Federal da Paraíba, Programa de Pós-Graduação em Física, UFPB, Brasil, Física |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFPB, instname:Universidade Federal da Paraíba, instacron:UFPB |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | -8949983414395757341, 600, 600, 600, -6618910597746734213, -8327146296503745929 |
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