RT Dissertation/Thesis
T1 Some global causal properties in certain classes of spacetimes
A1 Aké Hau, Luis Alberto
K1 Geometría - Tesis doctorales
AB Causality is a specific tool of Lorentzian Geometry, with a clear physical motivation, which has played acentral role in proving important theorems about the global structure of spacetimes. Causalityconditions are classified in terms of the so called causal ladder,whose steps determine how these conditions are logically related.Each of these levels presents some specificproperties, standing out at the top one, which is occupied by the condition of global hyperbolicity.In fact, it is believed that any physical spacetime must be globally hyperbolic(roughly, this is the content of the strong cosmic censorship hypothesis), and then, will admita global splitting in terms of a Cauchy surface, on which the Einstein equations can be posed as an initial value problem.Causality theory also provides aboundary construction for the very general class of strongly causal spacetimes, namely, the so-called causal boundary or justc-boundary. This boundary is less commonly used in General Relativity than the conformal one, because some classical spacetimes present a simple conformal boundary with quite a few of interesting properties. However, beyond such examples, there is no a general way to ensure that the conformal boundary exists. In contraposition, the c-boundary is not only conformally invariant but also intrinsic and it can becomputed systematically; such properties make it more suitable in general situations. This includes the holographic principle, which original started at a restricted situation concerning the conformal boundary of Anti-de Sitter spacetime for the AdS/CFT correspondence. The main purpose of this memory is to improve our knowledge about the c-boundary and the causal ladder of some important classes of spacetimes.
PB UMA Editorial
YR 2018
FD 2018-05
LK https://hdl.handle.net/10630/16757
UL https://hdl.handle.net/10630/16757
LA eng
NO Fecha de lectura de Tesis: 13 de junio 2018.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026