Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT

Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-07T16:59:31Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-11T18:47:11Z No. of bitstre...

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Main Author: Santos, Prieslei Estefânio Dominik Goulart
Other Authors: Universidade Estadual Paulista (UNESP)
Language:English
Published: Universidade Estadual Paulista (UNESP) 2017
Subjects:
Online Access:http://hdl.handle.net/11449/152323
id ndltd-IBICT-oai-repositorio.unesp.br-11449-152323
record_format oai_dc
collection NDLTD
language English
sources NDLTD
topic Buracos negros
Buracos de minhoca
AdS/CMT
Black holes
Wormholes
spellingShingle Buracos negros
Buracos de minhoca
AdS/CMT
Black holes
Wormholes
Santos, Prieslei Estefânio Dominik Goulart
Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
description Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-07T16:59:31Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-11T18:47:11Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-14T11:25:03Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-14T13:50:32Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Approved for entry into archive by Hellen Sayuri Sato null (hellen@ift.unesp.br) on 2017-12-15T16:09:41Z (GMT) No. of bitstreams: 1 goulartsantos_ped_dr_ift.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) === Made available in DSpace on 2017-12-15T16:09:41Z (GMT). No. of bitstreams: 1 goulartsantos_ped_dr_ift.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Previous issue date: 2017-11-21 === Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) === No contexto de teorias de Einstein-Maxwell-dilaton, estudamos buracos negros, buracos de minhoca e aplicações à correspondência anti-de Sitter/Teoria de Matéria Condensada. Apresentamos a solução de buracos negro dyonica para a teoria de Einstein-Maxwell-dilaton escrita completamente em termos de constantes de integração, e então investigamos como definir parâmetros físicos dependentes e independentes. Escolhendo condições de contorno apropriadas para o dilaton no infinito, construímos buracos negros sem massa e uma ponte de Einstein-Rosen que satisfaz a condição de energia nula. Construímos uma solução carregada analítica de buraco de minhoca atravessável para a teoria de Einstein-Maxwell-phantom-dilaton que é livre de singularidades e conecta dois espaços de Minkowski. Usando o teorema de Gauss-Bonnet calculamos o ângulo de deflexão de um raio de luz que passa próximo este buraco de minhoca. Apresentamos o formalismo da função entropia de Sen e o aplicamos para o cálculo analítico da entropia do buraco negro extremo de uma teoria de supergravidade com N=8 em quatro dimensões. No contexto de holografia, calculamos coeficientes de transporte na presença de campos magnéticos para teorias com um termo topológico na ação. Definimos quantidades radialmente independentes subtraindo as correntes de magnetização, e então estudamos perturbações lineares em torno do horizonte a fim de expressar as condutividades elétrica, termoelétrica e térmica em termos de somente propriedades do horizonte. Combinamos as fórmulas para as condutividades com os dados do horizonte calculados usando o formalismo de Sen, e expressamos analiticamente as condutividades à temperatura zero para várias teorias cujas soluções de buraco negro não são conhecidas analiticamente. === In the context of Einstein-Maxwell-dilaton theory, we study black holes, wormholes and applications to the anti-de Sitter/Condensed Matter Theory correspondence. We present the dyonic black hole solution to the Einstein-Maxwell-dilaton theory written fully in terms of integration constants, and then investigate how to define dependent and independent physical parameters. Choosing appropriate boundary conditions for the dilaton at infinity, we construct massless black holes and an Einstein-Rosen bridge that satisfies the null energy condition. We construct an analytical charged traversable wormhole solution to the Einstein-Maxwell-phantom-dilaton theory which is free of singularities and connects two Minkowski spacetimes. Using the Gauss-Bonnet theorem we compute the deflection angle of a light ray passing close to this wormhole. We present the Sen's entropy function method and apply it to compute analytically the entropy of the extremal black hole of a gauged N=8 supergravity theory in four dimensions. In the holographic context, we compute the transport coefficients in the presence of magnetic fields for theories with a topological term in the action. We define radially independent quantities by subtracting off the magnetization currents, and then study linear perturbations around the horizon in order to express the electric, thermoelectric and heat conductivities in terms of horizon properties only. We combine the formulae for the conductivities with the horizon data computed using Sen's entropy function method, and express analytically the conductivities at zero temperature for several theories whose the full black hole solutions are not known analytically. === 2103/00140-7
author2 Universidade Estadual Paulista (UNESP)
author_facet Universidade Estadual Paulista (UNESP)
Santos, Prieslei Estefânio Dominik Goulart
author Santos, Prieslei Estefânio Dominik Goulart
author_sort Santos, Prieslei Estefânio Dominik Goulart
title Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
title_short Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
title_full Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
title_fullStr Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
title_full_unstemmed Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT
title_sort einstein-maxwell-dilaton theory: black holes, wormholes, and applications to ads/cmt
publisher Universidade Estadual Paulista (UNESP)
publishDate 2017
url http://hdl.handle.net/11449/152323
work_keys_str_mv AT santospriesleiestefaniodominikgoulart einsteinmaxwelldilatontheoryblackholeswormholesandapplicationstoadscmt
AT santospriesleiestefaniodominikgoulart teoriadeeinsteinmaxwelldilatonburacosnegrosburacosdeminhocaecorrepondenciaadscmt
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spelling ndltd-IBICT-oai-repositorio.unesp.br-11449-1523232018-05-23T20:53:12Z Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT Teoria de Einstein-Maxwell-dilaton: buracos negros, buracos de minhoca e correpondência AdS/CMT Santos, Prieslei Estefânio Dominik Goulart Universidade Estadual Paulista (UNESP) Nastase, Horatiu Stefan [UNESP] Buracos negros Buracos de minhoca AdS/CMT Black holes Wormholes Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-07T16:59:31Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-11T18:47:11Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-14T11:25:03Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Submitted by Prieslei E. D. Goulart Santos (prieslei@ift.unesp.br) on 2017-12-14T13:50:32Z No. of bitstreams: 1 Thesis.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Approved for entry into archive by Hellen Sayuri Sato null (hellen@ift.unesp.br) on 2017-12-15T16:09:41Z (GMT) No. of bitstreams: 1 goulartsantos_ped_dr_ift.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Made available in DSpace on 2017-12-15T16:09:41Z (GMT). No. of bitstreams: 1 goulartsantos_ped_dr_ift.pdf: 1801229 bytes, checksum: 71a64454056164c79eed45a9201789ac (MD5) Previous issue date: 2017-11-21 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) No contexto de teorias de Einstein-Maxwell-dilaton, estudamos buracos negros, buracos de minhoca e aplicações à correspondência anti-de Sitter/Teoria de Matéria Condensada. Apresentamos a solução de buracos negro dyonica para a teoria de Einstein-Maxwell-dilaton escrita completamente em termos de constantes de integração, e então investigamos como definir parâmetros físicos dependentes e independentes. Escolhendo condições de contorno apropriadas para o dilaton no infinito, construímos buracos negros sem massa e uma ponte de Einstein-Rosen que satisfaz a condição de energia nula. Construímos uma solução carregada analítica de buraco de minhoca atravessável para a teoria de Einstein-Maxwell-phantom-dilaton que é livre de singularidades e conecta dois espaços de Minkowski. Usando o teorema de Gauss-Bonnet calculamos o ângulo de deflexão de um raio de luz que passa próximo este buraco de minhoca. Apresentamos o formalismo da função entropia de Sen e o aplicamos para o cálculo analítico da entropia do buraco negro extremo de uma teoria de supergravidade com N=8 em quatro dimensões. No contexto de holografia, calculamos coeficientes de transporte na presença de campos magnéticos para teorias com um termo topológico na ação. Definimos quantidades radialmente independentes subtraindo as correntes de magnetização, e então estudamos perturbações lineares em torno do horizonte a fim de expressar as condutividades elétrica, termoelétrica e térmica em termos de somente propriedades do horizonte. Combinamos as fórmulas para as condutividades com os dados do horizonte calculados usando o formalismo de Sen, e expressamos analiticamente as condutividades à temperatura zero para várias teorias cujas soluções de buraco negro não são conhecidas analiticamente. In the context of Einstein-Maxwell-dilaton theory, we study black holes, wormholes and applications to the anti-de Sitter/Condensed Matter Theory correspondence. We present the dyonic black hole solution to the Einstein-Maxwell-dilaton theory written fully in terms of integration constants, and then investigate how to define dependent and independent physical parameters. Choosing appropriate boundary conditions for the dilaton at infinity, we construct massless black holes and an Einstein-Rosen bridge that satisfies the null energy condition. We construct an analytical charged traversable wormhole solution to the Einstein-Maxwell-phantom-dilaton theory which is free of singularities and connects two Minkowski spacetimes. Using the Gauss-Bonnet theorem we compute the deflection angle of a light ray passing close to this wormhole. We present the Sen's entropy function method and apply it to compute analytically the entropy of the extremal black hole of a gauged N=8 supergravity theory in four dimensions. In the holographic context, we compute the transport coefficients in the presence of magnetic fields for theories with a topological term in the action. We define radially independent quantities by subtracting off the magnetization currents, and then study linear perturbations around the horizon in order to express the electric, thermoelectric and heat conductivities in terms of horizon properties only. We combine the formulae for the conductivities with the horizon data computed using Sen's entropy function method, and express analytically the conductivities at zero temperature for several theories whose the full black hole solutions are not known analytically. 2103/00140-7 2017-12-15T16:09:41Z 2017-12-15T16:09:41Z 2017-11-21 info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/doctoralThesis http://hdl.handle.net/11449/152323 000895166 33015015001P7 eng info:eu-repo/semantics/openAccess Universidade Estadual Paulista (UNESP) reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista instacron:UNESP