2015/03/29 by Donato Bini, Eduardo Bittencourt, Andrea Geralico +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Congruence relation #Cosmology and Gravitation Theories #General relativity #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Slicing #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1142/s021988781550070x
published as IJGMMP 12, 1550070 (2015) · 30 pages, 6 figures; published version
openalex publication_date 2015/03/29 · arxiv created 2015/09/16 · arxiv updated 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A general framework is developed to investigate the properties of useful choices of stationary spacelike slicings of stationary spacetimes whose congruences of timelike orthogonal trajectories are interpreted as the world lines of an associated family of observers, the kinematical properties of which in turn may be used to geometrically characterize the original slicings. On the other hand, properties of the slicings themselves can directly characterize their utility motivated instead by other considerations like the initial value and evolution problems in the 3-plus-1 approach to general relativity. An attempt is made to categorize the various slicing conditions or "time gauges" used in the literature for the most familiar stationary spacetimes: black holes and their flat spacetime limit.