Author : M. A. H. MacCallum
Publisher : Cambridge University Press
Page : 323 pages
File Size : 11,70 MB
Release : 1985-11-07
Category : Science
ISBN : 0521308127
This 1985 book comprises essays reviewing areas of the applications of gravity theory to which Professor Bonnor had contributed. The influence of his work in two important fields of interest to astonomers, physicists and mathematicians, galaxy formation and the study of axisymmetric solutions in general relativity, is well recognised.
Author : M. A. H. Maccallum
Publisher :
Page : 300 pages
File Size : 46,69 MB
Release : 1985
Category :
ISBN :
Author : Graham S Hall
Publisher : World Scientific
Page : 443 pages
File Size : 47,31 MB
Release : 2004-04-27
Category : Science
ISBN : 9814505315
This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.
Author : Prof. Dr. Roland Wielen
Publisher : Springer Science & Business Media
Page : 1122 pages
File Size : 34,25 MB
Release : 2013-04-17
Category : Science
ISBN : 366212355X
Author : Ignacio Ferreras
Publisher : UCL Press
Page : 200 pages
File Size : 41,25 MB
Release : 2019-04-02
Category : Science
ISBN : 1911307614
Galaxies, along with their underlying dark matter halos, constitute the building blocks of structure in the Universe. Of all fundamental forces, gravity is the dominant one that drives the evolution of structures from small density seeds at early times to the galaxies we see today. The interactions among myriads of stars, or dark matter particles, in a gravitating structure produce a system with fascinating connotations to thermodynamics, with some analogies and some fundamental differences. Ignacio Ferreras presents a concise introduction to extragalactic astrophysics, with emphasis on stellar dynamics, and the growth of density fluctuations in an expanding Universe. Additional chapters are devoted to smaller systems (stellar clusters) and larger ones (galaxy clusters). Fundamentals of Galaxy Dynamics, Formation and Evolution is written for advanced undergraduates and beginning postgraduate students, providing a useful tool to get up to speed in a starting research career. Some of the derivations for the most important results are presented in detail to enable students appreciate the beauty of maths as a tool to understand the workings of galaxies. Each chapter includes a set of problems to help the student advance with the material.
Author : David Hobill
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 32,60 MB
Release : 2013-06-29
Category : Science
ISBN : 1475799934
Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.
Author : Stephen Paul Braham
Publisher : American Mathematical Soc.
Page : 389 pages
File Size : 34,35 MB
Release : 1997
Category : Science
ISBN : 0821805231
This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the-art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. It features: review articles in key areas - black holes, numerical relativity, etc.; contributions covering most of gravitational physics; useful articles for students who wish to begin exploring the issues discussed; and, invited talks given by researchers known for their ability to communicate their expertise.
Author : J. Diaz Alonso
Publisher : Atlantica Séguier Frontières
Page : 438 pages
File Size : 34,83 MB
Release : 1995
Category : Gravitation
ISBN : 9782863321683
Author : Bernd G. Schmidt
Publisher : Springer
Page : 443 pages
File Size : 26,27 MB
Release : 2008-01-11
Category : Mathematics
ISBN : 3540465804
This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
Author : J.B. Griffiths
Publisher : Courier Dover Publications
Page : 260 pages
File Size : 29,15 MB
Release : 2016-03-15
Category : Science
ISBN : 0486801217
This monograph is a survey of recent research on the collision and interaction of gravitational and electromagnetic waves, a topic of particular importance to general relativity. 1991 edition, with updated postscript.
