Advanced Lectures on General Relativity
Title | Advanced Lectures on General Relativity PDF eBook |
Author | Geoffrey Compère |
Publisher | Springer |
Pages | 140 |
Release | 2019-01-31 |
Genre | Science |
ISBN | 303004260X |
These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.
Advanced Lectures on General Relativity
Title | Advanced Lectures on General Relativity PDF eBook |
Author | Geoffrey Compère |
Publisher | Springer |
Pages | 140 |
Release | 2019-02-01 |
Genre | Science |
ISBN | 9783030042592 |
These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.
A Relativist's Toolkit
Title | A Relativist's Toolkit PDF eBook |
Author | Eric Poisson |
Publisher | Cambridge University Press |
Pages | 253 |
Release | 2004-05-06 |
Genre | Science |
ISBN | 1139451995 |
This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.
Advanced General Relativity
Title | Advanced General Relativity PDF eBook |
Author | John Stewart |
Publisher | Cambridge University Press |
Pages | 244 |
Release | 1993-11-26 |
Genre | Science |
ISBN | 9780521449465 |
A self-contained introduction to advanced general relativity.
Mathematical Problems of General Relativity I
Title | Mathematical Problems of General Relativity I PDF eBook |
Author | Demetrios Christodoulou |
Publisher | European Mathematical Society |
Pages | 164 |
Release | 2008 |
Genre | Science |
ISBN | 9783037190050 |
General relativity is a theory proposed by Einstein in 1915 as a unified theory of space, time and gravitation. It is based on and extends Newton's theory of gravitation as well as Newton's equations of motion. It is thus fundamentally rooted in classical mechanics. The theory can be seen as a development of Riemannian geometry, itself an extension of Gauss' intrinsic theory of curved surfaces in Euclidean space. The domain of application of the theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This is involved at a most elementary level in the very definition of the notion of hyperbolicity for an Euler-Lagrange system of partial differential equations. Another method, the study and systematic use of foliations by characteristic (null) hypersurfaces, is in the spirit of Roger Penrose's approach in his incompleteness theorem. The methods have applications beyond general relativity to problems in fluid mechanics and, more generally, to the mechanics and electrodynamics of continuous media. The book is intended for advanced students and researchers seeking an introduction to the methods and applications of general relativity.
Special Relativity, Electrodynamics, and General Relativity
Title | Special Relativity, Electrodynamics, and General Relativity PDF eBook |
Author | John B. Kogut |
Publisher | Academic Press |
Pages | 456 |
Release | 2018-01-09 |
Genre | Science |
ISBN | 0128137215 |
Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity,” all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised and expanded second edition with improved figures Enlarged discussion of dynamics and the relativistic version of Newton’s second law Resolves the twin paradox from the principles of special and general relativity Includes new chapters which derive magnetism from relativity and electrostatics Derives Maxwell’s equations from Gauss’ law and the principles of special relativity Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO
Spacetime and Geometry
Title | Spacetime and Geometry PDF eBook |
Author | Sean M. Carroll |
Publisher | Cambridge University Press |
Pages | 529 |
Release | 2019-08-08 |
Genre | Science |
ISBN | 1108488390 |
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.