논문KCI 등재
A note on the Lorentzian limit curve theorem
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 571-580
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In this paper, we extend the familiar limit curve theorem in [2] to a situation where each causal curve lies in a sequence of compact interpolating spacetimes converging to a limit Lorentz space in the sense of Lorentzian Gromov-Hausdorff distance.
Abstract
In this paper, we extend the familiar limit curve theorem in [2] to a situation where each causal curve lies in a sequence of compact interpolating spacetimes converging to a limit Lorentz space in the sense of Lorentzian Gromov-Hausdorff distance.
참고문헌 (7)
- L. Bombelli, "The moduli space of isometry classes of globally hyperbolic spacetimes", Classical Quantum Gravity, 21(18), pp.4429~4453 (2004)
- S. W. Hawking, "The Large Scale Structure of Space-Time" (1973), Cambidge University Press
- J. Noldus, "A Lorentzian Gromov-Hausdorff notion of distance", Classical Quantum Grav- ity, 21(4), pp.839~850 (2004)
- J. Noldus, "Lorentzian Gromov Hausdorff theory as a tool for quantum gravity kinematics", 박사, pp.2004
- J. Noldus, "The limit space of a Cauchy sequence of globally hyperbolic spacetimes", Classical Quantum Gravity, 21(4), pp.851~874 (2004)
- R. Penrose, "A positive mass theorem based on the focusing and retardation of null geodesics", gr-qc
- R. Sorkin, "A causal order for spacetimes with C0 Lorentzian metrics: proof of compactness of the space of causal curves", Classical Quantum Gravity, 13(7), pp.1971~1993 (1996)
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