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- W3100402455 abstract "The asymptotic structure of the gravitational field of isolated systems has been analyzed in great detail in the case when the cosmological constant $Lambda$ is zero. The resulting framework lies at the foundation of research in diverse areas in gravitational science. Examples include: i) positive energy theorems in geometric analysis; ii) the coordinate invariant characterization of gravitational waves in full, non-linear general relativity; iii) computations of the energy-momentum emission in gravitational collapse and binary mergers in numerical relativity and relativistic astrophysics; and iv) constructions of asymptotic Hilbert spaces to calculate $S$-matrices and analyze the issue of information loss in the quantum evaporation of black holes. However, by now observations have established that $Lambda$ is positive in our universe. In this paper we show that, unfortunately, the standard framework does not extend from the $Lambda =0$ case to the $Lambda >0$ case in a physically useful manner. In particular, we do not have positive energy theorems, nor an invariant notion of gravitational waves in the non-linear regime, nor asymptotic Hilbert spaces in dynamical situations of semi-classical gravity. A suitable framework to address these conceptual issues of direct physical importance is developed in subsequent papers." @default.
- W3100402455 created "2020-11-23" @default.
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- W3100402455 date "2014-12-16" @default.
- W3100402455 modified "2023-10-18" @default.
- W3100402455 title "Asymptotics with a positive cosmological constant: I. Basic framework" @default.
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- W3100402455 doi "https://doi.org/10.1088/0264-9381/32/2/025004" @default.
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