A 3+1 perspective on null hypersurfaces and isolated horizons
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In this article, a hierarchy of geometrical structures is constructed on a null hypersurface, and the isolated horizon structure is reformulated in this framework by making use of some 3 + 1 slicing of spacetime.About:
This article is published in Physics Reports.The article was published on 2006-02-01 and is currently open access. It has received 270 citations till now. The article focuses on the topics: Null hypersurface & Event horizon.read more
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I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
Roy P. Kerr,Roy P. Kerr +1 more
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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.
Constraints on dark matter density and axion mass from the large-scale structure of spacetime
P. S. Joshi,B. Datta +1 more
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Spectral Methods for Numerical Relativity
TL;DR: This paper focuses on a class called spectral methods in which, typically, the various functions are expanded in sets of orthogonal polynomials or functions, and presents results obtained by various groups in the field of general relativity by means of spectral methods.
References
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I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
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Mathematical Methods of Classical Mechanics
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TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
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The Mathematical Theory of Black Holes
TL;DR: In a course of lectures on the underlying mathematical structures of classical gravitation theory given in 1978, Brandon Carter as discussed by the authors began with the statement ‘If I had been asked five years ago to prepare a course for recent developments in classical gravity theory, I would not have hesitated on the classical theory of black holes as a central topic of discussion. But I am grateful to them for their courtesy in assigning to me this privilege.