Lorentzian surfaces and the curvature of the Schmidt metric



Document title: Lorentzian surfaces and the curvature of the Schmidt metric
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000426491
ISSN: 0035-001X
Authors: 1
2
3
Institutions: 1University of Southampton, Mathematical Sciences, Southampton, Hampshire. Reino Unido
2Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro. Brasil
3Universidad Nacional Autónoma de México, Facultad de Ciencias, Ciudad de México. México
Year:
Season: Jul-Ago
Volumen: 64
Number: 4
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract The b-boundary is a mathematical tool used to attach a topological boundary to incomplete Lorentzian manifolds using a Riemaniann metric, called the Schmidt metric, on the frame bundle. In this paper we give the general form of the Schmidt metric in the case of Lorentzian surfaces. Furthermore, we write the Ricci scalar of the Schmidt metric in terms of the Ricci scalar of the Lorentzian manifold and give some examples. Finally, we discuss some applications to general relativity
Disciplines: Física y astronomía
Keyword: Física,
Singularidades gravitacionales,
Superficies lorentzianas,
Métrica de Schmidt,
Relatividad general
Keyword: Physics,
Gravitational singularities,
Lorentzian surfaces,
Schmidt metric,
General relativity,
B-boundary,
Límite B
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)