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General Relativity
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The article was published on 1984-01-01 and is currently open access. It has received 8137 citations till now. The article focuses on the topics: Initial value formulation & Hole argument.read more
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Region with trapped surfaces in spherical symmetry, its core, and their boundaries
TL;DR: In this paper, the authors consider the region T in spacetime containing future-trapped closed surfaces and its boundary B, and derive some of their general properties, including a nonlocal property inherited by B. They also define the core Z of the trapped region as that part of T which is indispensable to sustain closed trapped surfaces.
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Rigidity of marginally trapped surfaces and the topology of black holes
TL;DR: In this paper, it was shown that the topology of a stationary black hole spacetime obeying the dominant energy condition is of positive Yamabe type, which implies a rigidity result for marginally outer trapped surfaces.
Journal ArticleDOI
Thermodynamics of a black hole based on a generalized uncertainty principle
TL;DR: In this article, the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation was studied and a constraint for a large black hole comparable to the size of the cavity in connection with the critical mass was discussed.
Journal ArticleDOI
Boundary conditions in linearized harmonic gravity
TL;DR: In this article, the initial-boundary value problem for linearized gravitational theory in harmonic coordinates is investigated, and the results are used to formulate computational algorithms for Cauchy evolution in 3D bounded domains.
Journal ArticleDOI
The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
TL;DR: In this paper, small perturbations of the family of Friedmann-Lemaitre-Robertson-Walker cosmological background solutions to the 1 + 3-dimensional Euler-Einstein system were studied.
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