2012/01/08 by Alberto Carrasco Ferreira, Ferreira, Alberto Carrasco
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc #math.DG
paper · pdf · doi:10.48550/arxiv.1201.1640
180 pages, 23 figures, Ph.D. Dissertation
arxiv created 2012/01/08 · openalex publication_date 2012/01/08 · arxiv updated 2015/03/19 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28
The main aim of this thesis is to study the properties of trapped surfaces in spacetimes with symmetries and their possible relation with the theory of black holes. We will concetrate specially on one aspect of this possible equivalence, namely whether the static black hole uniqueness theorems extend to static spacetimes containing marginally outer trapped surfaces. The principal result of this thesis states that this question has an affirmative answer, under suitable not global-in-time conditions on the spacetime. Furthermore, in order to solve this question, we will obtain several results which generalize known properties of static spacetimes to the initial data setting and can be of independent interest. Finally, we will study the Penrose inequality in static initial data which are not time-symmetric. Our main result in this last part of the thesis is the discovery of a counter-example of a recent version of the Penrose inequality proposed by Bray and Khuri in 2009.