Separable geodesic action slicing in stationary spacetimes (Articolo in rivista)

Type
Label
  • Separable geodesic action slicing in stationary spacetimes (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bini D., Geralico A., Jantzen R. T. (2012)
    Separable geodesic action slicing in stationary spacetimes
    in General relativity and gravitation
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bini D., Geralico A., Jantzen R. T. (literal)
Pagina inizio
  • 603 (literal)
Pagina fine
  • 621 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 44 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Donato Bini Istituto per le Applicazioni del Calcolo ``M. Picone,'' CNR, I--00161 Rome, Italy ICRA, University of Rome ``La Sapienza,'' I--00185 Rome, Italy INFN - Sezione di Firenze, Polo Scientifico, Via Sansone 1, I--50019, Sesto Fiorentino (FI), Italy INAF - Astronomical Observatory of Turin, Via Osservatorio 20, I--10025 Pino Torinese (TO), Italy Andrea Geralico Physics Department and ICRA, University of Rome ``La Sapienza,'' I--00185 Rome, Italy Robert T. Jantzen Department of Mathematics and Statistics, Villanova University, Villanova, PA 19085, USA ICRA, University of Rome ``La Sapienza,'' I--00185 Rome, Italy (literal)
Titolo
  • Separable geodesic action slicing in stationary spacetimes (literal)
Abstract
  • A simple observation about the action for geodesics in a stationary spacetime with separable geodesic equations leads to a natural class of slicings of that spacetime whose orthogonal geodesic trajectories represent the world lines of freely falling fiducial observers. The time coordinate function can then be taken to be the observer proper time, leading to a unit lapse function, although the time coordinate lines still follow Killing trajectories to retain the explicitly stationary nature of the coordinate grid. This explains some of the properties of the original Painlev\'e-Gullstrand coordinates on the Schwarzschild spacetime and their generalization to the Kerr-Newman family of spacetimes, reproducible also locally for the G\"odel spacetime. For the static spherically symmetric case the slicing can be chosen to be intrinsically flat with spherically symmetric geodesic observers, leaving all the gravitational field information in the shift vector field. (literal)
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