Global Aspects In Gravitation And Cosmology

Download or read book Global Aspects in Gravitation and Cosmology written by Pankaj S. Joshi and published by Clarendon Press. This book was released on 1994-01-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global aspects in gravitation theory and cosmology are reviewed here to emphasize the basic theme that the very nature of gravitational force is such that global considerations of space-time are vital to understand this force in detail. Amongst the topics included are the structure and topology of space-time, exact solutions and singularities, quantum effects in strong gravity fields, and global upper limits in cosmology. Major open problems of significance are pointed out and the treatment here on the final fate of gravitational collapse shows that very strong-curvature naked singularities could result from the continual collapse of matter. This places important constraints on the formulation of the cosmic censorship hypothesis which is a crucial open question in relativistic astrophysics and the black hole physics. - ;This book reviews in a unified manner global aspects in gravitation theory and cosmology, emphasizing the basic heme that the very nature of the gravitational field is such that global features of space-time inevitably come into play whenever we try to understand and interpret this force in detail. The topics considered here include results on the structure and topology of space-time; exact solutions to Einstein equations and singularities ; gravitational collapse in general relativity, a brief review of the status of quantum gravity; and consideration of 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, it is pointed out that significant problems 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, an understanding of which appears essential to formulate any quantum theory of gravity. The treatment here of the final fate of gravitational collapse of massive stars shows by means of explicit consideration of several exact scenarios, that 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. This places important constraints on possible formulations of the cosmic censorship hypothesis and the final fate of gravitational collapse, which is a crucial open question in the general theory of relativity and relativistic astrophysics and which is basic to the entire theory and applications of black hole physics. -

Download or read book The Story of Collapsing Stars written by Pankaj S. Joshi and published by Oxford University Press, USA. This book was released on 2015 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book journeys into one of the most fascinating intellectual adventures of recent decades - understanding and exploring the final fate of massive collapsing stars in the universe. The issue is of great interest in fundamental physics and cosmology today, from both the perspective of gravitation theory and of modern astrophysical observations. This is a revolution in the making and may be intimately connected to our search for a unified understanding of the basic forces of nature, namely gravity that governs the cosmological universe, and the microscopic forces that include quantum phenomena. According to the general theory of relativity, a massive star that collapses catastrophically under its own gravity when it runs out of its internal nuclear fuel must give rise to a space-time singularity. Such singularities are regions in the universe where all physical quantities take their extreme values and become arbitrarily large. The singularities may be covered within a black hole, or visible to faraway observers in the universe. Thus, the final fate of a collapsing massive star is either a black hole or a visible naked singularity. We discuss here recent results and developments on the gravitational collapse of massive stars and possible observational implications when naked singularities happen in the universe. Large collapsing massive stars and the resulting space-time singularities may even provide a laboratory in the cosmos where one could test the unification possibilities of basic forces of nature.

Download or read book Canonical Gravity and Applications written by Martin Bojowald and published by Cambridge University Press. This book was released on 2010-12-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Physical Foundations of Cosmology written by Viatcheslav Mukhanov and published by Cambridge University Press. This book was released on 2005-11-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Download or read book Gravitation written by T. Padmanabhan and published by Cambridge University Press. This book was released on 2010-01-28 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering all aspects of gravitation in a contemporary style, this advanced textbook is ideal for graduate students and researchers in all areas of theoretical physics. The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes, gravitational waves and cosmology. The six chapters in the 'Frontier' section describe cosmological perturbation theory, quantum fields in curved spacetime, and the Hamiltonian structure of general relativity, among several other advanced topics, some of which are covered in-depth for the first time in a textbook. The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 200 exercises are included to test and develop the reader's understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research.

Download or read book The General Theory of Relativity written by Farook Rahaman and published by Cambridge University Press. This book was released on 2021-09-30 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the general theory of relativity, Lie derivatives, rotating black holes, with a focus on basics of cosmology and astrophysics.

Download or read book Ions and Electrons in Liquid Helium written by Armando Francesco Borghesani and published by OUP Oxford. This book was released on 2007-05-31 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrons and ions have been used for over 40 years as probes to investigate the fascinating properties of helium liquids. The study of the transport properties of microscopic charge carriers sheds light on superfluidity, on quantum hydrodynamics, and on the interactions with collective excitations in quantum liquids. The structure of the probes themselves depends on their coupling with the liquid environment in a way that gives further insight into the microscopic behavior of the liquid in different thermodynamic conditions, such as in the superfluid phase, in the normal phase, or near the liquid-vapor critical point. This book provides a comprehensive review of the experiments and theories of transport properties of charge carriers in liquid helium. It is a subject about which no other monograph exists to date. The book is intended for graduate and postgraduate students and for condensed matter physicists who will benefit from its completeness and accuracy.