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The Formation Of Black Holes In General Relativity
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Author :Demetrios Christodoulou Publisher :European Mathematical Society ISBN 13 :9783037190685 Total Pages :608 pages Book Rating :4.1/5 (96 download)
Book Synopsis The Formation of Black Holes in General Relativity by : Demetrios Christodoulou
Download or read book The Formation of Black Holes in General Relativity written by Demetrios Christodoulou and published by European Mathematical Society. This book was released on 2009 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. Since that time a major challenge has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in this monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler-Lagrange equations of hyperbolic type and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations.
Book Synopsis FORMATION OF BLACK HOLES IN GENERAL RELATIVITY. by : DEMETRIOS CHRISTODOULOU.
Download or read book FORMATION OF BLACK HOLES IN GENERAL RELATIVITY. written by DEMETRIOS CHRISTODOULOU. and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exploring Black Holes by : Edwin F. Taylor
Download or read book Exploring Black Holes written by Edwin F. Taylor and published by Addison-Wesley Professional. This book was released on 2000 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The metric helps to answer every scientific question about (nonquantum) features of spacetime surrounding a black hole, every possible question about trajectories of light and satellites around the black hole as well as around more familiar centers of attraction such as Earth and Sun. The metric for a rotating black hole may tell us about quasars, the most powerful steady energy sources in the Universe. The black-hole metric brings preliminary insights about the history and structure of the Cosmos." "Using the metric requires only algebra, elementary differential calculus, and a handful of integrals. This modest mathematics opens the subject to the interested person and paves the way to a deeper study of general relativity for one who will discover new truth about this strange and beautiful Universe, our home."--BOOK JACKET.
Book Synopsis Black Holes, Cosmology And Extra Dimensions (Second Edition) by : Kirill A Bronnikov
Download or read book Black Holes, Cosmology And Extra Dimensions (Second Edition) written by Kirill A Bronnikov and published by World Scientific. This book was released on 2021-06-29 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming basic knowledge of special and general relativity, this book guides the reader to problems under consideration in modern research, concerning black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and its most relevant extensions: scalar-tensor, f(R), and multidimensional theories. The second part discusses cosmology, including inflation and problems of a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original results obtained by the authors. Expository work is conducted for a mechanism of symmetries and fundamental constants formation. The original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted.Much of the content was previously presented only in journal publications and is new for book contents, e.g., on regular black holes, various scalar field solutions, wormholes and their stability, inflation, clusters of primordial black holes, and multidimensional gravity. The last two topics are added in this new edition of the book. The other chapters are also updated to include new discoveries like the detection of gravitational waves.
Book Synopsis The Galactic Black Hole by : H Falcke
Download or read book The Galactic Black Hole written by H Falcke and published by CRC Press. This book was released on 2002-12-16 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The supermassive black hole in the center of our Milky Way is the nearest such object and relatively easy to observe and study. Not surprisingly therefore, it is the best studied supermassive black hole. Many astrophysical and even general relativistic effects can be investigated in great detail. The Galactic Black Hole: Lectures on General Relativity and Astrophysics provides a systematic introduction to the physics/astrophysics and mathematics of black holes at a level suitable for graduate students, postdocs, and researchers in physics, astrophysics, astronomy, and applied mathematics. The focus is mainly on the supermassive black hole in the center of our Milky Way but the results can be easily generalized taking it as an example. Leading international experts provide first-hand accounts of the observational and theoretical aspects of this black hole. Topics range from the properties of the Schwarzschild metric and the collapse of a black hole, to quantum gravity, and from the structure of the Galaxy to accretion of matter and the emission properties of the Galactic Center black hole.
Book Synopsis The Rise and Fall of the Black Hole Paradigm by : Abhas Mitra
Download or read book The Rise and Fall of the Black Hole Paradigm written by Abhas Mitra and published by Pan Macmillan. This book was released on 2021-01-22 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black holes have turned out to be the cornerstone of both physics and popular belief. But what if we were to realize that exact black holes cannot exist, even though their existence is apparently suggested by exact general relativistic solutions, and Roger Penrose won the 2020 Nobel Prize in Physics ‘for the discovery that black hole formation is a robust prediction of the general theory of relativity’? While it might seem far-fetched to claim so, it will be worth remembering that the finest theoretical physicists like Albert Einstein and Paul Dirac did not believe in black holes, and Stephen Hawking finally thought that there are no exact black holes. While the black hole paradigm has become commonplace in popular consciousness, in the last decade, noise has consistently grown about the many physical effects which can inhibit the formation of exact mathematical black holes. In The Rise and Fall of the Black Hole Paradigm, Abhas Mitra shows us how, much before these developments, he had proven why the so-called black holes must only be black hole pretenders. He identified these black hole candidates to be Magnetospheric Eternally Collapsing Objects (MECOs) and, along with Darryl J. Leiter and Stanley L. Robertson, generalized them. Recent evidence for the existence of strong magnetic fields around so-called black holes may provide confirmations of his claim.
Book Synopsis Gravity, Black Holes, and the Very Early Universe by : Tai L. Chow
Download or read book Gravity, Black Holes, and the Very Early Universe written by Tai L. Chow and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.
Book Synopsis Einstein's Monsters by : Chris Impey
Download or read book Einstein's Monsters written by Chris Impey and published by W. W. Norton. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reveals how our comprehension of black holes is intrinsically linked to how we make sense of the universe and our place within it
Book Synopsis Astrophysical Black Holes by : Francesco Haardt
Download or read book Astrophysical Black Holes written by Francesco Haardt and published by Springer. This book was released on 2015-11-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on graduate school lectures in contemporary relativity and gravitational physics, this book gives a complete and unified picture of the present status of theoretical and observational properties of astrophysical black holes. The chapters are written by internationally recognized specialists. They cover general theoretical aspects of black hole astrophysics, the theory of accretion and ejection of gas and jets, stellar-sized black holes observed in the Milky Way, the formation and evolution of supermassive black holes in galactic centers and quasars as well as their influence on the dynamics in galactic nuclei. The final chapter addresses analytical relativity of black holes supporting theoretical understanding of the coalescence of black holes as well as being of great relevance in identifying gravitational wave signals. With its introductory chapters the book is aimed at advanced graduate and post-graduate students, but it will also be useful for specialists.
Book Synopsis Introduction to Black Hole Physics by : Valeri P. Frolov
Download or read book Introduction to Black Hole Physics written by Valeri P. Frolov and published by Oxford University Press. This book was released on 2011-09-22 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a black hole? How many of them are in our Universe? Can black holes be created in a laboratory or in particle colliders? Can objects similar to black holes be used for space and time travel? This book discusses these and many other questions providing the reader with the tools required to explore the Black Hole Land independently.
Book Synopsis The Shadow of the Black Hole by : John W. Moffat
Download or read book The Shadow of the Black Hole written by John W. Moffat and published by Oxford University Press, USA. This book was released on 2020 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Black holes are one of the extraordinary phenomena in the universe whose existence was surmised not by observations, but by theory. The black hole is a prediction of Einstein's 1915-1916 gravitational theory, general relativity, which replaced Sir Isaac Newton's gravity theory, published in his famous treatise Principia in 1687. In 1784, Reverend John Michell, a fellow of Queens' College and Professor of Geology at Cambridge University, had already envisioned what we now call black holes. He asked what would happen if a star's gravity were so strong that its escape velocity - the speed at which a rocket, for example, would have to travel to leave the star - exceeded the speed of light? Michell realized that any light emanating from the star would have to fall back to its surface. He speculated that the escape velocity would exceed the speed of light for a very massive star, making the star invisible to an observer"--
Book Synopsis The Little Book of Black Holes by : Steven S. Gubser
Download or read book The Little Book of Black Holes written by Steven S. Gubser and published by Princeton University Press. This book was released on 2017-09-25 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dive into a mind-bending exploration of the physics of black holes Black holes, predicted by Albert Einstein’s general theory of relativity more than a century ago, have long intrigued scientists and the public with their bizarre and fantastical properties. Although Einstein understood that black holes were mathematical solutions to his equations, he never accepted their physical reality—a viewpoint many shared. This all changed in the 1960s and 1970s, when a deeper conceptual understanding of black holes developed just as new observations revealed the existence of quasars and X-ray binary star systems, whose mysterious properties could be explained by the presence of black holes. Black holes have since been the subject of intense research—and the physics governing how they behave and affect their surroundings is stranger and more mind-bending than any fiction. After introducing the basics of the special and general theories of relativity, this book describes black holes both as astrophysical objects and theoretical “laboratories” in which physicists can test their understanding of gravitational, quantum, and thermal physics. From Schwarzschild black holes to rotating and colliding black holes, and from gravitational radiation to Hawking radiation and information loss, Steven Gubser and Frans Pretorius use creative thought experiments and analogies to explain their subject accessibly. They also describe the decades-long quest to observe the universe in gravitational waves, which recently resulted in the LIGO observatories’ detection of the distinctive gravitational wave “chirp” of two colliding black holes—the first direct observation of black holes’ existence. The Little Book of Black Holes takes readers deep into the mysterious heart of the subject, offering rare clarity of insight into the physics that makes black holes simple yet destructive manifestations of geometric destiny.
Book Synopsis Artificial Black Holes by : Mario Novello
Download or read book Artificial Black Holes written by Mario Novello and published by World Scientific. This book was released on 2002-10-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.
Book Synopsis Cracking the Einstein Code by : Fulvio Melia
Download or read book Cracking the Einstein Code written by Fulvio Melia and published by University of Chicago Press. This book was released on 2009-10-15 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert Einstein’s theory of general relativity describes the effect of gravitation on the shape of space and the flow of time. But for more than four decades after its publication, the theory remained largely a curiosity for scientists; however accurate it seemed, Einstein’s mathematical code—represented by six interlocking equations—was one of the most difficult to crack in all of science. That is, until a twenty-nine-year-old Cambridge graduate solved the great riddle in 1963. Roy Kerr’s solution emerged coincidentally with the discovery of black holes that same year and provided fertile testing ground—at long last—for general relativity. Today, scientists routinely cite the Kerr solution, but even among specialists, few know the story of how Kerr cracked Einstein’s code. Fulvio Melia here offers an eyewitness account of the events leading up to Kerr’s great discovery. Cracking the Einstein Code vividly describes how luminaries such as Karl Schwarzschild, David Hilbert, and Emmy Noether set the stage for the Kerr solution; how Kerr came to make his breakthrough; and how scientists such as Roger Penrose, Kip Thorne, and Stephen Hawking used the accomplishment to refine and expand modern astronomy and physics. Today more than 300 million supermassive black holes are suspected of anchoring their host galaxies across the cosmos, and the Kerr solution is what astronomers and astrophysicists use to describe much of their behavior. By unmasking the history behind the search for a real world solution to Einstein’s field equations, Melia offers a first-hand account of an important but untold story. Sometimes dramatic, often exhilarating, but always attuned to the human element, Cracking the Einstein Code is ultimately a showcase of how important science gets done.
Book Synopsis What Is Inside a Black Hole? by : Stephen Hawking
Download or read book What Is Inside a Black Hole? written by Stephen Hawking and published by Brief Answers, Big Questions. This book was released on 2022-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'If you feel you are in a black hole, don't give up. There's a way out' What is inside a black hole? Is time travel possible? Throughout his extraordinary career, Stephen Hawking expanded our understanding of the universe and unravelled some of its greatest mysteries. In What Is Inside a Black Hole? Hawking takes us on a journey to the outer reaches of our imaginations, exploring the science of time travel and black holes. 'The best most mind-bending sort of physics' The Times Brief Answers, Big Questions: this stunning paperback series offers electrifying essays from one of the greatest minds of our age, taken from the original text of the No. 1 bestselling Brief Answers to the Big Questions.
Book Synopsis Introduction to General Relativity, Black Holes, and Cosmology by : Yvonne Choquet-Bruhat
Download or read book Introduction to General Relativity, Black Holes, and Cosmology written by Yvonne Choquet-Bruhat and published by Oxford University Press, USA. This book was released on 2015 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.
Book Synopsis Elementary Cosmology by : James J Kolata
Download or read book Elementary Cosmology written by James J Kolata and published by Morgan & Claypool Publishers. This book was released on 2015-12-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmology is the study of the origin, size, and evolution of the entire universe. Every culture has developed a cosmology, whether it be based on religious, philosophical, or scientific principles. In this book, the evolution of the scientific understanding of the Universe in Western tradition is traced from the early Greek philosophers to the most modern 21st century view. After a brief introduction to the concept of the scientific method, the first part of the book describes the way in which detailed observations of the Universe, first with the naked eye and later with increasingly complex modern instruments, ultimately led to the development of the "Big Bang" theory. The second part of the book traces the evolution of the Big Bang including the very recent observation that the expansion of the Universe is itself accelerating with time.
