Apparent Horizon
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Apparent Horizon
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Author : Robert Cheatham
language : en
Publisher: Lulu.com
Release Date : 2015-04-13
Apparent Horizon written by Robert Cheatham and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-13 with Art categories.
It may be the case that the biggest Event, themost horrible catastrophe will not be of theorder of climate, or asteroids, or food production, or extreme financialization or any of the otherDooms which seem to await us, riding along sideof us as we rapidly futurize (or indemnify) thehuman. It might just as possibly be an invention,that unprecedented Event which causes a globalcollapse into another phase state away from thehuman, away from the organic; a product of theforeign body which forms part of the human, willbe responsible for everything that we fear fromcatastrophic interventions and intrusions,something which simultaneously wipes out andrestates, something which, much more frighteningthan Ebola, will be something which we desire andwant to come about, something we have created:an invention which is hollow inside.
Apparent Horizon
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Author : Jean Lieske
language : en
Publisher:
Release Date : 1999
Apparent Horizon written by Jean Lieske and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Cosmological And Black Hole Apparent Horizons
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Author : Valerio Faraoni
language : en
Publisher: Springer
Release Date : 2015-07-01
Cosmological And Black Hole Apparent Horizons written by Valerio Faraoni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Science categories.
This book overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.
Apparent Horizon
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Author : Patrick Morgan
language : en
Publisher:
Release Date : 2020-10-06
Apparent Horizon written by Patrick Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with categories.
Beyond The Trapping Horizon
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Author : Alexis Helou
language : en
Publisher:
Release Date : 2016
Beyond The Trapping Horizon written by Alexis Helou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Boosted Apparent Horizons
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Author : Sarp Akcay
language : en
Publisher:
Release Date : 2009
Boosted Apparent Horizons written by Sarp Akcay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Boosted black holes play an important role in General Relativity (GR), especially in relation to the binary black hole problem. Solving Einstein vacuum equations in the strong field regime had long been the holy grail of numerical relativity until the significant breakthroughs made in 2005 and 2006. Numerical relativity plays a crucial role in gravitational wave detection by providing numerically generated gravitational waveforms that help search for actual signatures of gravitational radiation exciting laser interferometric detectors such as LIGO, VIRGO and GEO600 here on Earth. Binary black holes orbit each other in an ever tightening adiabatic inspiral caused by energy loss due to gravitational radiation emission. As the orbits shrinks, the holes speed up and eventually move at relativistic speeds in the vicinity of each other (separated by ~ 10M or so where 2M is the Schwarzschild radius). As such, one must abandon the Newtonian notion of a point mass on a circular orbit with tangential velocity and replace it with the concept of black holes, cloaked behind spheroidal event horizons that become distorted due to strong gravity, and further appear distorted because of Lorentz effects from the high orbital velocity. Apparent horizons (AHs) are 2-dimensional boundaries that are trapped surfaces. Conceptually, one can think of them as 'quasi-local' definitions for a black hole horizon. This will be explained in more detail in chapter 2. Apparent horizons are especially important in numerical relativity as they provide a computationally efficient way of describing and locating a black hole horizon. For a stationary spacetime, apparent horizons are 2-dimensional cross-sections of the event horizon, which is itself a 3-dimensional null surface in spacetime. Because an AH is a 2-dimensional cross-section of an event horizon, its area remains invariant under distortions due to Lorentz boosts although its shape changes. This fascinating property of the AH can be attributed to the fact that it is a cross-section of a null surface, which, under the boost, still remains null and the total area does not change. Although this invariance of the area is conceptually easy to see it is less straightforward to derive this result. We present two different ways to show the area invariance. One is based on the spin-boost transformation of the null tetrad and the other a direct coordinate transformation of the boosted metric under the Lorentz boost. Despite yielding identical results the two methods differ significantly and we elaborate on this in much more detail. We furthermore show that the use of the spin-boost transformation is not well-suited for binary black hole spacetime and that the spin-boost is fundamentally different from a Lorentz boost although the transformation equations look very similar. We also provide a way to visualize the distorted horizons and look at the multi-pole moments of these surfaces under small boosts. We finish by summarizing our main results at the end and by commenting on the binding energy of the binary and how the apparent horizon is distorted due to presence of another black hole.
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."--
Apparent Horizon Location In Numerical Spacetimes
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Author : Mijan Firdous Huq
language : en
Publisher:
Release Date : 1996
Apparent Horizon Location In Numerical Spacetimes written by Mijan Firdous Huq and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with General relativity (Physics) categories.
Role Of The Apparent Horizon In The Evolution Of Robinson Trautman Einstein Maxwell Spacetimes
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Author :
language : en
Publisher:
Release Date : 1994
Role Of The Apparent Horizon In The Evolution Of Robinson Trautman Einstein Maxwell Spacetimes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
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.