Open Access
Kinematics and dynamics of general relativity
James W. York
- pp 83-126
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The article was published on 1979-01-01 and is currently open access. It has received 287 citations till now. The article focuses on the topics: Degrees of freedom & Theory of relativity.read more
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Journal ArticleDOI
The inverse mean curvature flow and the Riemannian Penrose Inequality
Gerhard Huisken,Tom Ilmanen +1 more
TL;DR: In this article, a theory of weak solutions of the inverse mean curvature flow was developed and employed to prove the Riemannian Penrose inequality for each connected component of a 3-manifold of nonnegative scalar curvature.
Journal ArticleDOI
Isolated and dynamical horizons and their applications
Abhay Ashtekar,Badri Krishnan +1 more
TL;DR: A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
Book ChapterDOI
Canonical quantum gravity and the problem of time
TL;DR: In this article, the authors provide a general introduction to the problem of time in quantum gravity, and discuss several specific schemes for resolving this problem, which can be sub-divided into three main categories: (I) approaches in which time is identified before quantising; (II) approaches to identify time after quantizing; and (III) approaches where time plays no fundamental role at all.
Journal ArticleDOI
The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
Frank Löffler,Joshua A. Faber,Eloisa Bentivegna,Tanja Bode,Peter Diener,Roland Haas,Roland Haas,Ian Hinder,Bruno C. Mundim,Christian D. Ott,Christian D. Ott,Christian D. Ott,Erik Schnetter,Erik Schnetter,Erik Schnetter,Gabrielle Allen,Gabrielle Allen,Manuela Campanelli,Pablo Laguna +18 more
TL;DR: The Einstein Toolkit as mentioned in this paper is a community-driven, freely accessible computational infrastructure intended for use in numerical relativity, relativistic astrophysics, and other applications, which combines a core set of components needed to simulate astrophysical objects such as black holes, compact objects, and collapsing stars.
Journal ArticleDOI
Coalescence of Black Hole-Neutron Star Binaries
Masaru Shibata,Keisuke Taniguchi +1 more
TL;DR: The current status of general relativistic studies for the coalescence of black hole-neutron star (BH-NS) binaries is reviewed and understanding for the merger and/or tidal disruption processes, the criterion for tidal disruption, and the properties of the remnant formed after the tidal disruption are summarized.