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Numerical Relativity Starting From Scratch


Numerical Relativity Starting From Scratch
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Numerical Relativity Starting From Scratch


Numerical Relativity Starting From Scratch
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-08

Numerical Relativity Starting From Scratch written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Mathematics categories.


A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.



Numerical Relativity


Numerical Relativity
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Author : Thomas W. Baumgarte
language : en
Publisher:
Release Date : 2021

Numerical Relativity written by Thomas W. Baumgarte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


"This completely updated edition brings the reader even more handy tips on how to help combat the climate emergency and other environmental problems. New to this edition are: an expanded "What can I do?" section; coverage of Extinction Rebellion, school children marches, the role of protest; more for the business community on offsetting, Carbon net zero, and investing; the effects of pandemics and COVID-19; Australian wildfires. Feeding the world, climate change, biodiversity, antibiotics, plastics - the list of concerns seems endless. Given the global nature of the challenges we face, what can any of us DO? Mike Berners-Lee has crunched the numbers and plotted a course of action that is practical and enjoyable. Readers will find the big-picture perspective on the environmental and economic challenges of the day laid out in one place, and traced through to the underlying roots - questions of how we live and think on Planet A"--



New Frontiers In Grmhd Simulations


New Frontiers In Grmhd Simulations
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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2025-03-10

New Frontiers In Grmhd Simulations written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-10 with Science categories.


This book offers an updated comprehensive review of the rapidly expanding field of GRMHD simulations. In Part I, it reviews the basic equations for GRMHD simulations and for numerical relativity. Part II describes public codes for GRMHD simulations. Part III is devoted to accretion processes onto compact objects in the non-self-gravitating fluid approximation. Part IV reviews the state of the art of GRMHD simulations with self-gravitating fluids. This book represents both a valuable book for graduate students and important reference resource for researchers in the field.



Numerical Relativity


Numerical Relativity
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24

Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Science categories.


Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.



Introduction To 3 1 Numerical Relativity


Introduction To 3 1 Numerical Relativity
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Author : Miguel Alcubierre
language : en
Publisher: OUP Oxford
Release Date : 2008-04-10

Introduction To 3 1 Numerical Relativity written by Miguel Alcubierre and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-10 with Science categories.


This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.



Observations And Theory Of Short Grbs At The Dawn Of The Gravitational Wave Era


Observations And Theory Of Short Grbs At The Dawn Of The Gravitational Wave Era
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Author : Giulia Stratta
language : en
Publisher: MDPI
Release Date : 2019-09-30

Observations And Theory Of Short Grbs At The Dawn Of The Gravitational Wave Era written by Giulia Stratta and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-30 with Science categories.


The book starts with a review of the established facts on the numerical simulations of binary neutron star mergers and simulations of short GRB jets that highlights the issues that need to be revised and further clarified, as the need to understand how the relativistic outflow was launched, what the initial structure of the outflow is, and how it evolved through its interaction with the binary ejecta. Constraints on a local population of faint short duration GRBs are then provided in light of the GW170817/GRB 170817A event at d~40 Mpc by considering statistical limits on a d < 200 Mpc population. Using past and current GRB detectors, results suggest that GRB 170817A-like events are likely to be rare in existing short GRB catalogues and, if binary neutron star merger rates are at the high end of current estimates, then at most a few percent will be accompanied by detectable gamma-ray flashes in the forthcoming LIGO/Virgo science runs. Indirect information on the nature of short GRBs can be obtained from their host galaxy. The host galaxies of most short GRBs are found to be star-forming, but an important fraction, ∼1/5, are elliptical with negligible star formation. Short bursts often occur at very large off-sets from their hosts, in regions where there is little or no underlying host light. These results provide evidence of progenitors associated with merger of compact object binaries with kick velocities of a few tens of km/s and merger times of ∼1 Gyr. The last two issues of the book tackle the physics of the short GRB radiative processes. Interestingly, it was already noted in the past that the prompt emission for short GRBs and the initial 2 s of long-duration GRBs show similarity in the low energy photon index. This result has been further confirmed using a larger sample of Fermi Gamma-ray burst monitor data. In particular, it has been found that for 25% of GRBs, the photon index is shallower than −2/3, challenging the standard synchrotron emission scenario. The extent up to which the reverse shock component is detectable for short GRBs in radio wavelengths is analyzed. Results show that early, radio bright reverse shock is expected in many cases, but more rapid follow-up observational campaigns are required in order to test these predictions.



Elements Of Numerical Relativity And Relativistic Hydrodynamics


Elements Of Numerical Relativity And Relativistic Hydrodynamics
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Author : Carles Bona
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24

Elements Of Numerical Relativity And Relativistic Hydrodynamics written by Carles Bona and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-24 with Science categories.


Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.



Frontiers In Numerical Relativity


Frontiers In Numerical Relativity
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Author : Charles R. Evans
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-13

Frontiers In Numerical Relativity written by Charles R. Evans and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-13 with Mathematics categories.


This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.



Dynamical Spacetimes And Numerical Relativity


Dynamical Spacetimes And Numerical Relativity
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Author : Joan M. Centrella
language : en
Publisher: CUP Archive
Release Date : 1986-09-18

Dynamical Spacetimes And Numerical Relativity written by Joan M. Centrella and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-18 with Science categories.




Numerical Relativity


Numerical Relativity
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Author : Masaru Shibata
language : en
Publisher: World Scientific
Release Date : 2015-11-05

Numerical Relativity written by Masaru Shibata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-05 with Science categories.


"This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes."--