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Master's Dissertation
DOI
10.11606/D.43.2014.tde-14012015-105456
Document
Author
Full name
Marlon Jose Polo Cuello
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2014
Supervisor
Committee
Mendes, Carlos Molina (President)
Abdalla, Elcio
Zanchin, Vilson Tonin
Title in Portuguese
Processos semi-clássicos em buracos negros e buracos de minhoca quase-extremos
Keywords in Portuguese
Buracos de minhoca
Buracos negros
Relatividade (fisica)
Tunelamento quântico.
Abstract in Portuguese
Nesta dissertação são explorados efeitos clássicos e semi-clássicos em espaços-tempos quase-extremos. Na classe de geometrias tratadas aqui, uma região estática entre dois horizontes é considerada, de forma que estes horizontes estão muito próximos e as suas gravidades superficiais são muito pequenas. Este limite quase-extremo surge em vários contextos de interesse, envolvendo buracos negros assintoticamente de Sitter, buracos de minhoca e buracos negros em universos com seção espacial compacta. No trabalho desenvolvido, buracos de minhoca ligando duas regiões com horizontes cosmológicos são estudados em detalhes. Uma vez caracterizada, algumas das propriedades clássicas destas estruturas e efeitos semi-clássicos são explorados. O tratamento quântico proposto leva naturalmente a uma caracterização termodinâmica associada aos horizontes atrapantes presentes na geometria. Consideramos especificamente propriedades térmicas associadas a um campo escalar nos espaços-tempos de interesse. Uma revisão do formalismo de Hayward é feito, com a sua adaptação para espaços-tempos importantes. Buracos de minhoca no regime quase-extremo são discutidos em detalhes.
Title in English
Semiclassical processes in black holes and wormholes near-extreme
Keywords in English
black holes
quantum tunneling
relativity (physics)
wormholes
Abstract in English
In this dissertation, classical and semi-classical effects in quasi-extreme spacetimes are explored. In the class of geometries treated here, a static region between two horizons is considered, in such a way that these horizons are very close and their surface gravities are very small. This quasi-extreme limit appears in several contexts of interest, such as asymptotically de Sitter black holes, wormholes and black holes in universes with compact spatial section. In the developed work, wormholes connecting two regions bounded by cosmological horizons are studied in detail. Once some of the classical properties of these structures are characterized, semi-classical effects are explored. The proposed quantum treatment naturally leads to a thermodynamic characterization associated to the trapping horizons present in the geometry. We specifically consider thermal properties associated to a scalar field in the spacetimes of interest. A review of Hayward's formalism is presented, with a proper adaptation to important space-times. Wormholes in the near extreme regime are discussed in detail.
 
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Publishing Date
2015-02-23
 
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