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A Variational Principle for Rotating Stars in General Relativity
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This article is published in The Astrophysical Journal.The article was published on 1970-01-01. It has received 223 citations till now. The article focuses on the topics: Four-force & Variational principle.read more
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The four laws of black hole mechanics
TL;DR: This article derived expressions for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two neighboring such solutions.
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Rotating Stars in Relativity
TL;DR: The sections on the equilibrium properties and on the nonaxisymmetric instabilities in f-modes and r-Modes have been updated and several new sections have been added on analytic solutions for the exterior spacetime, rotating stars in LMXBs, rotating strange stars, and on rotatingStars in numerical relativity.
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Three‐dimensional Magnetohydrodynamic Simulations of Radiatively Inefficient Accretion Flows
TL;DR: In this article, the authors present three-dimensional MHD simulations of rotating radiatively inefficient accretion flows onto black holes, where they continuously inject magnetized matter into the computational domain near the outer boundary and run the calculations long enough for the resulting accretion flow to reach a quasi-steady state.
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Foundations of Black Hole Accretion Disk Theory
TL;DR: A review of the main aspects of black hole accretion disk theory can be found in this paper, where the authors discuss how accretion disks might reveal some unique signatures of strong gravity: the event horizon, the innermost stable circular orbit, and the ergosphere.
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Initial Data for Numerical Relativity
TL;DR: This work examines several of the formalisms used for specifying Cauchy initial data in the 3 + 1 decomposition of Einstein’s equations and explores how these formalisms have been used in constructing initial data for spacetimes containing black holes and neutron stars.