Author: Pankaj S. Joshi
Publisher: Oxford University Press
This book describes several basic results and applications of global aspects in gravitation theory and cosmology within the framework of Einstein's theory of gravity. Topics include results on the structure and topology of space-time, exact solutions to Einstein equations and singularities, the status of quantum gravity, and quantum effects near space-time singularities in strong curvature fields. Also covered are the global upper limits in cosmology on elementary particle masses which might constitute the dark matter of the universe. After discussing in detail the fundamental role played by global considerations in gravity and general relativity, the author points out the significant problems that remain: the nature and structure of space-time singularities, the cosmic censorship problem in black hole physics, and the issue of quantum effects in strong gravity fields. The author's treatment of gravitational collapse illustrates how powerfully-strong curvature naked singularities could result from the continual gravitational collapse of matter with several reasonable equations of state--including inflowing radiation, dust, or a perfect fluid. Students and mathematicians, astrophysicists, and physicists will find this theoretically rich book a landmark in relativity theory.
Local and Global Aspects of Gravitation and Cosmology
Author: H. Treder
Publisher: Springer Science & Business Media
The present monograph is not a self-contained introductory text. Instead it presupposes to a large extent that the reader is not only thoroughly familiar with the special theory of relativity, but that he or she has studied the standard aspects of the general theory, as weIl. Starting from local and global formulations of the principlcs of inertia and relativity, we discuss the microscopic ancl telcscopic aspects of gravitation. Our central goal has been to demonstrate that the foundations of gravitational theory laid by Newton and Einstein imply questions on thc relation betwecn the micro- and macrocosm. The discussions surrounding these physical points can be rather weH understood without an elaborate mathcmatical formalism. All the same, we have attempted to make the main theme of our presentation accessible also to readers outside the circle of pundits by including two appendixes of a largely instructional nature. Appendix A gives a brief review of the basic concepts of four-dimensional spaces, for the convenience of readers who need 9 Preface such a recapitulation, while Appendix B deals with the more exotic notions of tetrad theory, which admittedly stands in wider need of elucidation. Both appendixes are meant in any event to serve the useful purpose of establishing our notation and collecting formulas for easy reference in the main body of the book. The general reader may accordingly find it helpful first to peruse one or both of the appendixes before turning to the Introduction and Chapter 1. H. -j.
Introduction to the Global Structure of Space-time
Author: Micha? Heller
Publisher: World Scientific
The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon.Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers.
The Mathematical Theory of Black Holes and of Colliding Plane Waves
Author: S. Chandrasekhar
Publisher: University of Chicago Press
This is the first of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area.
Author: John K. Beem,Paul Ehrlich,Kevin Easley
Publisher: CRC Press
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Cosmology, Black Holes, and Quantum Gravity
Author: Martin Bojowald
Publisher: Cambridge University Press
Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.
An Introduction to Einstein's Theory
Author: Theodore Frankel
Publisher: Courier Corporation
This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.
Proceedings of the Second Samos Meeting on Cosmology, Geometry and Relativity Held at Pythagoreon, Samos, Greece, 31 August – 4 September 1998
Author: Spiros Cotsakis,Gary W. Gibbons
Publisher: Springer Science & Business Media
This book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in black-hole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research.
3rd Mexican Meeting on Mathematical and Experimental Physics
Author: Alfredo Macias,Claus Lämmerzahl,Abel Camacho,Dario Nuñez
Publisher: Amer Inst of Physics
The Third Mexican Meeting on Mathematical and Experimental Physics brought together scientists from many different fields. The Meeting was divided into three Symposia: (i) Physical Chemistry, (ii) Biological Physics, (iii) Gravitation and Cosmology. This proceedings presents the papers of the Gravitation and Cosmology Symposium. The main goal of the Gravitation and Cosmology Symposium was to present the perspectives of scientists in the fields of cosmology and gravitation regarding their current work as well as the anticipated development of their research fields in the near future.
Black Holes, Naked Singularities, and the Cosmic Play of Quantum Gravity
Author: Pankaj S. Joshi
Publisher: Oxford University Press, USA
This book describes some of the most fascinating occurences in the universe - black holes and space-time singularities. These arise when massive stars reach the end of their life cycle and collapse and shrink under their own gravity as they exhaust their supply of internal nuclear fuel. A star that was once millions of kilometers in size shrinks to a pinprick smaller than the dot on an "i". This is the space-time singularity, an extreme region of the universewhere densities, temperatures, and all other physical quantities take arbitrarily large values. According to Einstein's theory of gravity, the singularity is either covered within an event horizon, thusgiving a black hole, or it can be a visible naked singularity. The final fate of the star depends on its internal structure. In cases of the singularity being visible to faraway observers in the universe, we have the possibility to witness the workings of quantum gravity effects. Such observational signatures related to how the gravity and quantum may operate together could help us formulate the quantum gravity theory, a long cherished dream of physicists. Thus these issues are found to beintimately related to our search for the Unification of Physics, understanding all the basic forces in nature in a single theoretical framework.
Author: Peter G. Bergmann,Venzo De Sabbata
The Ninth Course of the International School of Cosmology and Gravita tion of the Ettore Majorana Centre for Scientific Culture is concerned with "Topological Properties and Global Structure of Space-Time." We consider this topic to possess great importance. Our choice has also been influenced by the fact that there are many quest ions as yet unre solved. Standard general relativity describes space-time as a four-dimensional pseudo-Riemannian manifold, but it does not prescribe its large-scale structure. Inorderto attempt answers to some topological questions, such as whether our universe is open or closed, whether it is orientable, and whether it is complete or possesses singularities, various theoretical approaches to global aspects of gravitational physics are presented here. As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity. We have found it difficult to organize these papers into classes, say standard and non-standard theory, or models with and without singularities. One paper, by R. Reasenberg, is experimental. Its purpose was to give the theorists present an inkling of the opportunities, as weIl as the pitfalls, of experimental research in gravitational physics. Accordingly, we have arranged all contributions alphabetically, by ~first-named) author.
Author: Clifford M. Will
Keine wissenschaftliche Theorie ist auf solche Faszination auch außerhalb der Wissenschaft gestoßen wie die Allgemeine Relativitätstheorie von Albert Einstein, und keine wurde so nachdrücklich mit den Mitteln der modernen Physik überprüft. Wie hat sie diesen Test mit Raumsonden, Radioastronomie, Atomuhren und Supercomputern standgehalten? Hatte Einstein recht? Mit der Autorität des Fachmanns und dem Flair des unvoreingenommenen Erzählers schildert Clifford Will die Menschen, Ideen und Maschinen hinter den Tests der allgemeinen Relativitätstheorie. Ohne Formeln und Fachjargon wird der leser mit Einsteins Gedanken vertraut und erfährt von der Bestätigung seiner Vorhersagen, angefangen bei der Lichtablenkung im Schwerefeld der Sonne 1919 bis zu den ausgefeilten Kreiselexperimenten auf dem Space Shuttle. Die Allgemeine Relativitätstheorie hat nich nur alle diese Tests bestanden, sie hat darüber hinaus wesentlich beigetragen zu unserem Verständnis von Phänomenen wie Pulsaren, Quasaren, Schwarzen Löchern und Gravitationslinsen. Dieses Buch erzählt lebendig und spannend die Geschichte einer der größten geistigen Leistungen unserer Zeit.
Author: Maurizio Gasperini
This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions. The new edition includes more details on gravitational waves of cosmological origin, the so-called brane world scenario, and gravitational time-delay effects.The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field, while the second, more advanced part discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap within the traditional approach to general relativity which usually leaves students puzzled about the role of gravity. The required notions of differential geometry are reduced to the minimum, allowing room for aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric and higher-dimensional generalization of the Einstein equations. This textbook is primarily intended for students pursuing a theoretical or astroparticle curriculum but is also relevant for PhD students and young researchers.
Author: Frank Close
Publisher: Spektrum Akademischer Verlag
Genesis Im Anfang w ar Leere: „Finsternis lag über der Ur ut“. Dann kam es zu einem gewaltigen Energieausbruch: „Es werde Licht. Und es wurde Licht.“ Woher diese Energie kam, weiß ich nicht. Bekannt ist jedoc h, was anschließend geschah: Die Energie kondensierte zu Materie und ihrem geheimn- vollen Spiegelbild – der Antimaterie – in vollkommen gl- chen Mengen. Gewöhnliche Materie ist uns vertraut; aus ihr bestehen Luft und Erde und die Lebewesen. Doch ihr getreues, in allen Erscheinungen identisches Spiegelbild, das erst im Inneren der Atome seine „verkehrte“ Natur offenbart, ist uns mehr als fremd. Es ist die Antimaterie, die Antithese zur Materie. Antimaterie gibt es heute nicht in größeren Mengen, zumindest nicht auf der Erde. Der Grund für ihr V- schwinden gehört zu den unerklärten Geheimnissen des Universums. Wir wissen aber, dass Antimaterie existiert, denn sie konnte in physikalischen Experimenten in win- gen Mengen hergestellt werden. Antimaterie zerstört jede gewöhnliche Materie, mit der sie in Berührung kommt, in einem grellen Blitz. Die seit XII Vorwort Milliarden von Jahren gebündelte Energie der Materie wird in einem solchen Augenblick explosionsartig frei- setzt. Antimaterie könnte die ideale Energiequelle werden, die Technologie des 21. Jahrhunderts. Doch ihre Fähigkeit zur absoluten Zerstörung könnte sie auch zu einer ulti- tiven Massenvernichtungswaffe machen.