TY - JOUR
T1 - Notes on observational and radar coordinates for localized observers
AU - Lin, Shih Yuin
N1 - Funding Information:
I would like to thank Bei-Lok Hu, Kin-Wang Ng, Ue-Li Pen, and Bill Unruh for illuminating discussions. I also thank Ya-Zi Wang and Chen-Hau Lee for bringing Refs. [24,26] to my attention. This work is supported by the Ministry of Science and Technology of Taiwan under Grant No. MOST 106-2112-M-018-002-MY3 and in part by the National Center for Theoretical Sciences, Taiwan.
PY - 2020/6/15
Y1 - 2020/6/15
N2 - The worldline of a uniformly accelerated localized observer in Minkowski space is restricted in the Rindler wedge, where the observer can in principle arrange experiments repeatedly, and the Cauchy problem for quantum fields in that Rindler wedge can be well defined. However, the observer can still receive the signals sourced by the events behind the past horizon, and coordinatize those events in terms of some kind of observational coordinates. We construct such observational coordinates in some simple cases with the localized observers in Minkowski, de Sitter, and Schwarzschild-like spacetimes, and compare them with radar coordinates for the same observers.
AB - The worldline of a uniformly accelerated localized observer in Minkowski space is restricted in the Rindler wedge, where the observer can in principle arrange experiments repeatedly, and the Cauchy problem for quantum fields in that Rindler wedge can be well defined. However, the observer can still receive the signals sourced by the events behind the past horizon, and coordinatize those events in terms of some kind of observational coordinates. We construct such observational coordinates in some simple cases with the localized observers in Minkowski, de Sitter, and Schwarzschild-like spacetimes, and compare them with radar coordinates for the same observers.
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U2 - 10.1103/PhysRevD.101.124001
DO - 10.1103/PhysRevD.101.124001
M3 - Article
AN - SCOPUS:85087039540
VL - 101
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 124001
ER -