The Hawking-Penrose singularity theorem: a self-contained review

In this work, the Hawking-Penrose singularity theorem is studied from the perspective of the problem of geodesic inextendibility in Lorentzian manifolds, a problem that provides a formal definition of the notion of space-time singularity in general relativity. First, geodesic curves were studied in...

Full description

Autores:
Ballén Méndez, Iván Camilo
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2024
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/75951
Acceso en línea:
https://hdl.handle.net/1992/75951
Palabra clave:
Differential Geometry
Lorentzian Geometry
Jacobi Fields
Spacetime Singularities
Conjugate Points
Causal Structure
Matemáticas
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 International