General Relativity and the Einstein Equations

Author: Yvonne Choquet-Bruhat

Publisher: Oxford University Press

ISBN: 0199230722

Category: Mathematics

Page: 785

View: 3506

DOWNLOAD NOW »

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
Release

General Relativity and Gravitation

A Centennial Perspective

Author: Abhay Ashtekar,Beverly Berger,James Isenberg,Malcolm MacCallum

Publisher: Cambridge University Press

ISBN: 110703731X

Category: Science

Page: 696

View: 3154

DOWNLOAD NOW »

Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
Release

Relativity and Gravitation

100 Years after Einstein in Prague

Author: Jiří Bičák,Tomáš Ledvinka

Publisher: Springer

ISBN: 3319067613

Category: Science

Page: 590

View: 8267

DOWNLOAD NOW »

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.
Release

Geometric Analysis Around Scalar Curvatures

Author: Fei Han,Xingwang Xu,Weiping Zhang

Publisher: World Scientific

ISBN: 9813100567

Category: Mathematics

Page: 220

View: 5090

DOWNLOAD NOW »

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations with negative exponent from geometric points of view such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as the existence of non-flat smooth hyper-surfaces and Serrin's over-determined problem. And the final chapter induces a new technique to handle the equation with critical index and the sign change coefficient as well as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential equations. Contents:Lectures on the Fourth-Order Q Curvature Equation (Fengbo Hang and Paul C Yang)An Introduction to the Finite and Infinite Dimensional Reduction Methods (Manuel del Pino and Juncheng Wei)Einstein Constraint Equations on Riemannian Manifolds (Quôc Anh Ngô) Readership: Advanced undergraduates, graduate students and researchers interested in the study of conformal geometry and geometric partial differential equations.
Release

The Mathematical Theory of Black Holes

Author: Subrahmanyan Chandrasekhar

Publisher: Oxford University Press

ISBN: 9780198503705

Category: Science

Page: 646

View: 3611

DOWNLOAD NOW »

"The theory of black holes is the most simple consequence of Einstein's relativity theory. Dealing with relativity theory, this book details one of the most beautiful areas of mathematical physics; the theory of black holes. It represents a personal testament to the work of the author, who spent several years working-out the subject matter." --WorldCat.
Release

On the Topology and Future Stability of the Universe

Author: Hans Ringström

Publisher: OUP Oxford

ISBN: 0199680299

Category: Science

Page: 736

View: 7659

DOWNLOAD NOW »

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.
Release

A Century of Relativity Physics

ERE 2005, XXVIII Spanish Relativity Meeting, Oviedo (Asturias), Spain, 6-10 September 2005

Author: Lysiane Mornas,Joaquín Diaz Alonso

Publisher: N.A

ISBN: 9780735403338

Category: Relativity (Physics)

Page: 679

View: 4738

DOWNLOAD NOW »

On the occasion of the World Year of Physics, which commemorated the centenary of the publication of several major papers by Einstein and the birth of the Theory of Relativity, this edition of the Spanish Relativity Meeting endeavored to cover as many aspects as possible of the foundations, applications and future vistas of this branch of modern physics. Topics included are: foundations of special and general relativity, observational tests, relativistic astrophysics, gravitational waves, numerical relativity, cosmology, early universe, dark matter, exact solutions of Einstein equations, black holes, quantum gravity, string theory, discrete space-time, non-commutative geometry, relativistic statistical and nuclear physics, compact stars, and historical and philosophical perspectives.
Release

Advanced General Relativity

Gravity Waves, Spinning Particles, and Black Holes

Author: Claude Barrabès,Peter A. Hogan

Publisher: OUP Oxford

ISBN: 0199680698

Category: Science

Page: 152

View: 8629

DOWNLOAD NOW »

The book covers mainstream topics at research level involving gravitational waves, spinning particles, and black holes, suitable for graduates and early postgraduates exploring avenues into research in general relativity.
Release