On The Topology And Future Stability Of The Universe
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On The Topology And Future Stability Of The Universe
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Author : Hans Ringström
language : en
Publisher: OUP Oxford
Release Date : 2013-05-23
On The Topology And Future Stability Of The Universe written by Hans Ringström and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-23 with Mathematics categories.
The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic. After imposing this assumption, the only freedom left, as far as the geometry is concerned, is the choice of one out of three permissible spatial geometries, and one scalar function of time. Combining the cosmological principle with an appropriate description of the matter leads to the standard models. It is worth noting that these models yield quite a successful description of our universe. However, even though the universe may, or may not, be almost spatially homogeneous and isotropic, it is clear that the cosmological principle is not exactly satisfied. This leads to several questions. The most natural one concerns stability: given initial data corresponding to an expanding model of the standard type, do small perturbations give rise to solutions that are similar to the future? Another question concerns the shape of the universe: what are the restrictions if we only assume the universe to appear almost spatially homogeneous and isotropic to every observer? The main purpose of the book is to address these questions. However, to begin with, it is necessary to develop the general theory of the Cauchy problem for the Einstein-Vlasov equations. In order to to make the results accessible to researchers who are not mathematicians, but who are familiar with general relativity, the book contains an extensive prologue putting the results into a more general context.
On The Topology And Future Stability Of The Universe
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Author : Hans Ringström
language : en
Publisher: OUP Oxford
Release Date : 2013-05-23
On The Topology And Future Stability Of The Universe written by Hans Ringström and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-23 with Science categories.
A general introduction to the initial value problem for Einstein's equations coupled to collisionless matter. The book contains a proof of future stability of models of the universe consistent with the current observational data and a discussion of the restrictions on the possible shapes of the universe imposed by observations.
Accelerating Expansion
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Author : Gordon Belot
language : en
Publisher: Oxford University Press
Release Date : 2023-08-24
Accelerating Expansion written by Gordon Belot and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-24 with Mathematics categories.
Accelerating Expansion explores some of the philosophical implications of modern cosmology, focused on the significance that the discovery of the accelerating expansion of the Universe has for our understanding of time, geometry, and physics. The appearance of the cosmological constant in the equations of general relativity allows one to model universes in which space has an inherent tendency towards expansion. This constant, introduced by Einstein but subsequently abandoned by him, returned to centre stage with the discovery of the accelerating expansion. This pedagogically-oriented essay begins with a study of the most basic and elegant relativistic world that involves a positive cosmological constant, de Sitter spacetime. It then turns to the relatives of de Sitter spacetime that dominate modern relativistic cosmology. Some of the topics considered include: the nature of time and simultaneity in de Sitter worlds; the sense in which de Sitter spacetime is a powerful dynamical attractor; the limited extent to which observation can give us information about the topology of space in a world undergoing accelerated expansion; and cosmologists' favourite sceptical worry about the reliability of evidence and the possibility of knowledge, the problem of Boltzmann brains.
General Relativity Cosmology And Astrophysics
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Author : Jiří Bičák
language : en
Publisher: Springer
Release Date : 2014-06-12
General Relativity Cosmology And Astrophysics written by Jiří Bičák and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Science categories.
The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as a valuable source of knowledge and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The occasion to gather together so many leading experts in the field was to celebrate the centenary of Einstein's stay in Prague in 1911-1912. It was in fact during his stay in Prague that Einstein started in earnest to develop his ideas about general relativity that fully developed in his paper in 1915. Approaching soon the centenary of his famous paper, this volume offers a precious overview of the path done by the scientific community in this intriguing and vibrant field in the last century, defining the challenges of the next 100 years. The content is divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics.
Foundations Of General Relativity
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Author : Klaas Landsman
language : en
Publisher: Radboud University Press
Release Date : 2021-10-08
Foundations Of General Relativity written by Klaas Landsman and has been published by Radboud University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Science categories.
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
Spectral Theory And Differential Operators
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Author : David Eric Edmunds
language : en
Publisher: Oxford University Press
Release Date : 2018
Spectral Theory And Differential Operators written by David Eric Edmunds and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.--
Feynman S Operational Calculus And Beyond
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Author : Gerald W Johnson
language : en
Publisher: OUP Oxford
Release Date : 2015-08-06
Feynman S Operational Calculus And Beyond written by Gerald W Johnson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-06 with Science categories.
This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book. The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.
Broken Symmetry In Curved Spacetime And Gravity
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Author : Charles D. Lane
language : en
Publisher: MDPI
Release Date : 2020-11-13
Broken Symmetry In Curved Spacetime And Gravity written by Charles D. Lane and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Science categories.
This book contains several recent articles written about broken spacetime symmetry. The context is curved spacetime as used in General Relativity and the broken symmetry most discussed is Local Lorentz Symmetry. While there is currently no experimental evidence for broken Lorentz symmetry in nature, it is an object of great study from theoretical, phenomenological, and experimental perspectives. All three appear in this volume. There are three review articles in this volume: Fabian Kislat summarizes astrophysical probes of Lorentz violation, especially those using polarized light; Michael Seifert discusses a particular limit of the Standard-Model Extension that is useful for relating theoretical and experimental ideas; and Marco Schreck describes circumstances under which gravitational Cerenkov radiation could arise from Lorentz violation. The other three articles focus more on original research: Charles Lane and Quentin Bailey relate a particular theory of noncommutative geometry to the curved-spacetime Standard-Model Extension; Yuri Bonder and Christobal Corral consider the existence of spacetime symmetries in models with explicit Lorentz violation; and Pawel Gusin et al. study a spacetime transformation that relates the inside and outside of a nonrotating black hole.
The New Universe And The Human Future
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Author : Nancy Ellen Abrams
language : en
Publisher: Yale University Press
Release Date : 2011-04-19
The New Universe And The Human Future written by Nancy Ellen Abrams and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-19 with Science categories.
A cultural philosopher and an astrophysicist attempt to decipher how we fit into the universe, and the impact our placement has on us. After a four-century rupture between science and the questions of value and meaning, this groundbreaking book presents an explosive and potentially life-altering idea: if the world could agree on a shared creation story based on modern cosmology and biology—a story that has just become available—it would redefine our relationship with Planet Earth and benefit all of humanity, now and into the distant future. Written in eloquent, accessible prose and illustrated in magnificent color throughout, including images from innovative simulations of the evolving universe, this book brings the new scientific picture of the universe to life. It interprets what our human place in the cosmos may mean for us and our descendants. It offers unique insights into the potential use of this newfound knowledge to find solutions to seemingly intractable global problems such as climate change and unsustainable growth. And it explains why we need to “think cosmically, act globally” if we're going to have a long-term, prosperous future on Earth. “Should be read by anyone, not just scientists, who worry about the human condition.”—Deepak Chopra, The Huffington Post “A prophetic book. Its message ranks right up there with those of Isaiah, Jeremiah, Ezekiel, and Joel. Like the prophets, it is at times poetic, demanding, grounded, soaring, empowering, and always awe-inspiring.”—Matthew Fox, Tikkun “The ideas and images are fascinating and certainly contribute to a sense of the profound stakes involved in what we’re doing to the planet and ourselves.”—William Kowinski, North Coast Journal
Endless Boundless Stable Universe
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Author : Grote Reber
language : en
Publisher:
Release Date : 1977
Endless Boundless Stable Universe written by Grote Reber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Cosmology categories.