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.
Author: Pankaj S. Joshi
Publisher: Cambridge University Press
Release Date: 2007-12-13
Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book, first published in 2007, investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.
Author: Edited by Paul F. Kisak
Publisher: Createspace Independent Publishing Platform
Release Date: 2015-12-07
Quantum gravity (QG) is a field of theoretical physics that seeks to describe the force of gravity according to the principles of quantum mechanics. The current understanding of gravity is based on Albert Einstein's general theory of relativity, which is formulated within the framework of classical physics. On the other hand, the nongravitational forces are described within the framework of quantum mechanics, a radically different formalism for describing physical phenomena based on probability. The necessity of a quantum mechanical description of gravity follows from the fact that one cannot consistently couple a classical system to a quantum one. In physics, gravitational waves are ripples in the curvature of space-time which propagate as waves, travelling outward from the source. Predicted in 1916 by Albert Einstein to exist on the basis of his theory of general relativity, gravitational waves theoretically transport energy as gravitational radiation. Sources of detectable gravitational waves could possibly include binary star systems composed of white dwarfs, neutron stars, or black holes. The existence of gravitational waves is a possible consequence of the Lorentz invariance of general relativity since it brings the concept of a limiting speed of propagation of the physical interactions with it. Gravitational waves cannot exist in the Newtonian theory of gravitation, in which physical interactions propagate at infinite speed. Although gravitational radiation has not been directly detected, there is indirect evidence for its existence. For example, the 1993 Nobel Prize in Physics was awarded for measurements of the Hulse-Taylor binary system which suggest that gravitational waves are more than theoretical concept. Various gravitational-wave detectors are currently under construction or are in operation, such as The Advanced LIGO which began observations in September 2015. This book discusses the current theories, concepts and experiments that pertain to quantum gravity and gravitational waves.
In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.
This book is on Einsteinś theory of general relativity, or geometrodynamic. It may be used as an introduction to general relativity, as an introduction to the foundations and tests of gravitation and geometrodynamics, or as a monograph on the meaning and origin of inertia in Eistein theory
Author: David F. Crawford
Release Date: 2006
Curvature Cosmology proposes a new cosmological model very different from, and more elegant than, the Big-Bang Theory. Curvature Cosmology is based on two major hypotheses that Hubble redshift is due to an interaction of photons with curved spacetime and that there is a pressure that acts to stabilise expansion and provides a static stable universe. The main focus of this book is to describe these two hypotheses in detail and to examine all relevant cosmological data in the context of this new model of the universe. This model proposes that, though evolution of stars and galaxies is evident, the statistical properties of the universe are the same at all places and at all times. In short, the universe is ageless, has no defined beginning (unlike the Big-Bang model), and carries no evidence of expansion, despite the changeability of its components. Curvature Cosmology is a complex book that calls for a paradigm shift in current cosmology and requires at least basic (if not more complex) knowledge of past and current cosmological models and equations.
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: Remi Hakim
Publisher: Cambridge University Press
Release Date: 1999-05-20
This is an introductory textbook on applications of general relativity to astrophysics and cosmology. The aim is to provide graduate students with a toolkit for understanding astronomical phenomena that involve velocities close to that of light or intense gravitational fields. The approach taken is first to give the reader a thorough grounding in special relativity, with space-time the central concept, following which general relativity presents few conceptual difficulties. Examples of relativistic gravitation in action are drawn from the astrophysical domain. The book can be read on two levels: first as an introductory fast-track course, and then as a detailed course reinforced by problems which illuminate technical examples. The book has extensive links to the literature of relativistic astrophysics and cosmology.
Author: Arlie O. Petters
Publisher: Springer Science & Business Media
Release Date: 2001-06-15
This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.
Author: P. J. Tomlin
Release Date: 2012-10
This book presents what are possibly the greatest advances in astronomy and physics for years. It quantifies the force responsible for the expansion of the universe and describes its source. It identifies the greatest destructive mechanism in the universe. The enigmas behind the Hubble constant were resolved and this led to all the discoveries. The mysteries behind dark matter and dark energy are solved. The cause of all solar energy, including gravitational and radiant energy is identified. Surprisingly hydrogen fusion is found to be responsible for the sun's remarkable prolonged stability, but it is an impossible source of surplus energy. The most unexpected finding was that time has an unusual property, one that is responsible for much of the behaviour of the universe. Also uncovered was an inverse relationship between time and mass. Another finding was the greatest catastrophe to befall the earth with after effects that we still feel today, such as shifting plate tectonics, tsunamis and earthquakes, and why the Pacific Ocean is so deep. That catastrophe led to Snowball Earth. But it also eventually caused the oxygenation of earth's atmosphere and the emergence of life. Also found were why Jupiter is so hot compared with its surroundings and what drives its equatorial storms. Another discovery was the mechanism responsible for Saturn's marvellous ring system. Also identified within that ring system was the physics behind the most spectacular sight in the solar system. But there are many other discoveries, such as that the theory of the Big Bang must be wrong, the quantification of gravitational energy and so on. This book should do to Astronomy what Darwin's book The Origin of Species did to biology.
Branes of Gravity: The Structure of Gravitational Force, a new title by H. C. Huang, builds on the author’s earlier volume, A Simple Unified Theory: From Magnetism to Gravity. The author disagrees with some of the current beliefs in theoretical physics. For example, it is commonly believed that a perpetual machine is impossible. But this author thinks that our entire universe, galaxies, solar systems, and atoms are all, in effect, perpetual machines, whose motion still energizes everything we can sense. Based on the synthesis of discoveries in this book and the previous volume—covering such topics as how gravity and inertia differ, the Moon-Earth relationship, and applications of the neutral charge field—Huang discusses their implications for re-evaluating the structure and future understanding of physical nature and phenomena of particle universes.