期刊
GENERAL RELATIVITY AND GRAVITATION
卷 47, 期 5, 页码 -出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-015-1891-7
关键词
Schwarzschild geometry; Painleve-Gullstrand coordinates; Spacetime slicing; Black hole volume
资金
- Howard University Department of Physics and Astronomy
- NASA Postdoctoral Fellowship through the Oak Ridge Associated Universities
We explore the connections between various coordinate systems associated with observers moving inwardly along radial geodesics in the Schwarzschild geometry. Painleve-Gullstrand (PG) time is adapted to freely falling observers dropped from rest from infinity; Lake-Martel-Poisson (LMP) time coordinates are adapted to observers who start at infinity with non-zero initial inward velocity; Gautreau-Hoffmann time coordinates are adapted to observers dropped from rest from a finite distance from the black hole horizon. We construct from these an LMP family and a proper-time family of time coordinates, the intersection of which is PG time. We demonstrate that these coordinate families are distinct, but related, one-parameter generalizations of PG time, and show linkage to Lemaitre coordinates as well.
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