Lorentzian surfaces and the curvature of the Schmidt metric

• Y. Sánchez Sánchez ^[1] ; C. Merlin ^[2] ; R. Reynoso Fuentes ^[3]
  1. [1] University of Southampton

     University of Southampton

     GB.ENG.M4.24UJ, Reino Unido

     
  2. [2] Centro Brasileiro de Pesquisas Físicas

     Centro Brasileiro de Pesquisas Físicas

     Brasil

     
  3. [3] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     

  Mostrar afiliaciones +
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 4, 2018, págs. 429-438
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.