Particle Physics
Quantum Field Theory :: Quantum Mechanics
Relativistic :: Quantum Mechanics

JMP: General Relativity and Gravitation

An extension theorem for conformal gauge singularities
Christian Lubbe and Paul Tod We analyze conformal gauge, or isotropic, singularities in cosmological models in general relativity. Using the calculus of tractors, we find conditions in terms of tractor curvature for a local extension of the conformal structure through a cosmological singularity and prove a local extension theor ... [J. Math. Phys. 50, 112501 (2009)] published Tue Nov 3, 2009.
A conformal extension theorem based on null conformal geodesics
Christian Lubbe In this article we describe the formulation of null geodesics as null conformal geodesics and their description in the tractor formalism. A conformal extension theorem through an isotropic singularity is proven by requiring the boundedness of the tractor curvature and its derivatives to sufficient o ... [J. Math. Phys. 50, 112502 (2009)] published Tue Nov 3, 2009.
Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method
A. Ghose Choudhury, Partha Guha, and Barun Khanra The Darboux integrability method is particularly useful to determine first integrals of nonplanar autonomous systems of ordinary differential equations, whose associated vector fields are polynomials. In particular, we obtain first integrals for a variant of the generalized Raychaudhuri equation, wh ... [J. Math. Phys. 50, 102502 (2009)] published Fri Oct 23, 2009.

 

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An Essay on General Relativity - This site contains a comprehensive introduction to the basic ideas and tests of general relativity

Are There Pictorial Examples of Covariant and Contravariant Vectors - We present pictorial means of distinguishing contravariant vectors (or simply vectors) from covariant vectors (or linear forms).

Derivation of gravitational waves in Einstein, Brans-Dicke and Rosen theories of gravity. - Mathematical derivation of gravitational waves to quadrupole order in the Brans-Dicke scalar-tensor and Rosen bi-metric theories of gravity.

Dulkyn: Scientific Center for Gravitational-Wave Research - Research includes detection of periodic gravitational radiation from relativistic astrophysical objects, investigation of infra-low-frequency variations of Terrestrial gravity field in the role of crystal growing and compound formation, and investigation of time variations of Terrestrial inertial field and the geophysical consequences.
Meta Description: [ Scientific Center for Gravitational-Wave Research DULKYN ]

Experimental Gravitational Physics Using Drag-Free Satellites - Covers current and past projects in experimental gravitational physics using Drag-Free Satellites including the Relativity Gyro, Equivalence Principle, and LISA.
Meta Description: [ Drag-Free Satellite web page with definitions, history, modern applications, and current programs. Contains many links to relevant pages. ]

General Relativity Simulation Contest - The purpose of this Contest is to prove General Relativity using a (simple) algorithm.
Meta Description: [ Page contains a contest to write a program which uses General Relativity. A second contest is included to use any Theory. ]

Gravitational Lensing - A popular site with interactive demonstrations of gravitational lensing. The background material is at a graduate level

Gravitational Waves: An Introduction - This paper presents an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but results from general relativity have been derived in the appendices.

Gravity of Gravity - An experiment at the University of Washington seeks to determine whether the gravitational binding energy of an object generates gravity of its own.
Meta Description: [ A portion of Number 454 ]

Gravity Probe B - Gravity Probe B is the relativity gyroscope experiment being developed by NASA and Stanford University to test two extraordinary, unverified predictions of Albert Einstein's general theory of relativity.

Handbook of Space Astronomy and Astrophysics - Relativity - A collection of equations important to both special relativity and general relativity.

Hyperspace at the University of British Columbia - Includes links to online journals, news and preprint archives, as well as lists of faculty at this university.

Interactive Experiments in Gravity - Try an experiment that illustrates the gravitational attraction between two objects or use a Java applet to understand how orbits work in strongly curved space-time.

500 Lecture Notes on General Relativity - Sean M. Carroll's lecture notes from a one-semester graduate-level course he taught at MIT in 1996. Notes are in postscript format.

NOVA Online/Einstein Revealed - Profile of Albert Einstein, with additional teaching resources, Shockwave demonstrations, and animations of relativity concepts.
Meta Description: [ In this companion Web site to the NOVA program Einstein's Big Idea, view interactive features on the history and science behind E = mc2, download audio clips of today's top physicists explaining his most famous equation, visit our teacher's guide, and more. ]

Physics Bookshelf - Relativity - A collection of articles about relativity

Publications in Physics and Mathematics by Walter Pfeifer - A textbook for relativistic quantum mechanics is presented. The Dirac equation is dealt with in detail.

QMW Hyperspace - A set of hypertext based services for general relativity research provided by the QMW Relativity group.

Relativity - Provides information on the history, experiments and paradoxes of relativity.

Relativity bookmarks - Rob Salgado's bookmarks

Ricci - A Mathematica package for doing tensor calculations in differential geometry and general relativity.

Shapiro Radar Bounce Test - A two part overview of the Shapiro radar bounce test of general relativity. (The two parts consist of a section for normal people, and one for nerds)

Solving Einstein's Equations in Three Dimensions - This is a Mathematica notebook showing how to plot light cones in two plus one spacetime dimensions with a point mass.

The 5D Spacetime Consortium - We are a group of physicists and astronomers working on a 5-dimensional version of general relativity.

500 The Cosmological Constant - An overview of why Einstein added an extra term in general relativity, and why it is still examined.
Meta Description: [ The Cosmological Constant ]

The Special Theory of Relativity - Self-tutorial with short essays, questions and answers.

Why Time is Absolute, and Relative, But Never Universal - An article by Vincent Sauvé elaborating upon a materialist view of the absolute and relative nature of time.
Meta Description: [ Einstein's relativity of time, and the concrete linkage of the scale of time to the inertial frame is elaborated upon in this paper with minimal mathematics for a popular presentation. ]

404 Wrong: Some Scientifically Inaccurate Claims Concerning Cosmology and Relativity - Easy to understand 'debunking' of some common misconceptions about cosmology and relativity and why they are wrong.
Meta Description: [ This page is an abreviated Hall of Shame listing a few of the many books and websites making vacuous or scientifically inaccurate claims related to claims related to relativity theory, and also links to a few pages written by qualified scientists refuting some of these claims. ]

Dr. Hausdoerffer, now ninety-four, meets Dr. Einstein back in 1954