Results 31 to 40 of about 1,893 (155)
Weak Gravitation in the 4+1 Formalism
Universe, 2022 The 4+1 formalism in general relativity (GR) prescribes field equations for the spacetime metric γμνx,τ which is local in the spacetime coordinates x and evolves according to an external “worldtime” τ.
Martin Land
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Universe, 2022 Understanding the physical structures of the accreted matter very close to a black hole in quasars and active galactic nucleus (AGN) is an important milestone to constrain the activities occurring in their centers.
Orhan Donmez, Fatih Dogan, Tuba Sahin
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NUMERICAL RELATIVITY IN HIGHER DIMENSIONS [PDF]
International Journal of Modern Physics D, 2013 We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black hole (BH) systems. After a brief review of the numerical techniques employed for these studies, we summarize results grouped into the following three areas: (i) numerical studies of fundamental ...
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Characteristic Evolution and Matching
Living Reviews in Relativity, 2001 I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to current 3D codes that simulate binary black holes.
Winicour Jeffrey
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NUMERICAL RELATIVITY: STATUS AND PROSPECTS [PDF]
General Relativity and Gravitation, 2002 We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important messages so far hidden in the theory.
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THE STATUS OF NUMERICAL RELATIVITY [PDF]
General Relativity and Gravitation, 2005 Numerical relativity has come a long way in the last three decades and is now reaching a state of maturity. We are gaining a deeper understanding of the fundamental theoretical issues related to the field, from the well posedness of the Cauchy problem, to better gauge conditions, improved boundary treatment, and more realistic initial data.
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Numerical relativity and the early Universe
EPJ Web of Conferences, 2016 We consider numerical simulations in general relativity in ADM formalism with cosmological ansatz for the metric. This ansatz is convenient for investigations of the Universe creation in laboratory with Galileons.
Mironov Sergey
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Spherically symmetric black hole spacetimes on hyperboloidal slices
Frontiers in Applied Mathematics and Statistics, 2023 Gravitational radiation and some global properties of spacetimes can only be unambiguously measured at future null infinity (ℐ+). This motivates the interest in reaching it within simulations of coalescing compact objects, whose waveforms are extracted ...
Alex Vañó-Viñuales
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Actively learning numerical relativity
Physical Review DData analysis of gravitational waves detected by the Ligo-Virgo-Kagra collaboration and future observatories relies on precise modelling of the sources. In order to build, calibrate and validate current models, we resort to expensive simulations in Numerical Relativity (NR), the fully-fledged simulation of Einstein's Equations.
Tomas Andrade +2 more
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Numerical Hydrodynamics in General Relativity
Living Reviews in Relativity, 2003 The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends ...
Font José A.
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