Kodama Time
Gabriel Abreu
(Victoria University of Wellington, NZ)
Coauthor(s): Matt Visser
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In a general (3+1)-dimensional spherically symmetric spacetime, a preferred time coordinate is introduced by applying the Clebsch decomposition theorem to the Kodama vector. Then a preferred coordinate system is constructed for the time-dependent metric tensor. However certain ambiguities arise when the time-dependent metric is studied, such as the time-dependent redshift factor, and the time-dependent surface gravity. Nevertheless, by building a set of radial null geodesics, it is possible to define and calculate a notion of "bulk gravity" that generalizes the usual "surface gravity" and is valid throughout the entire spacetime geometry.