Spacetime Splitting, Admissible Coordinates and Causality (Articolo in rivista)

Type
Label
  • Spacetime Splitting, Admissible Coordinates and Causality (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bini D., Chicone C. and Mashhoon B. (2012)
    Spacetime Splitting, Admissible Coordinates and Causality
    in Physical review. D, Particles, fields, gravitation, and cosmology
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bini D., Chicone C. and Mashhoon B. (literal)
Pagina inizio
  • 104020 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 85 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • D. Bini Istituto per le Applicazioni del Calcolo ``M. Picone,'' CNR, I-00185 Rome, Italy ICRA, University of Rome ``La Sapienza,'' I-00185 Rome, Italy INFN, Sezione di Firenze, I--00185 Sesto Fiorentino (FI), Italy C. Chicone Department of Mathematics and Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA B. Mashhoon Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, Missouri 65211, USA (literal)
Titolo
  • Spacetime Splitting, Admissible Coordinates and Causality (literal)
Abstract
  • To confront relativity theory with observation, it is necessary to split spacetime into its temporal and spatial components. The timelike threading approach involves fundamental observers that are at rest in space; indeed, this (1+3) splitting implies restrictions on the gravitational potentials $(g_{\mu \nu})$. On the other hand, the spacelike slicing approach involves (3+1) splittings of any congruence of observers with corresponding restrictions on $(g^{\mu \nu})$. These latter coordinate conditions exclude closed timelike curves (CTCs) within any such coordinate patch. While the threading coordinate conditions can be naturally integrated into the structure of Lorentzian geometry and constitute the standard coordinate conditions in general relativity, this circumstance does not extend to the slicing coordinate conditions. From this viewpoint, the existence of CTCs is not, in principle, prohibited by classical general relativity. (literal)
Prodotto di
Autore CNR

Incoming links:


Autore CNR di
Prodotto
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
data.CNR.it