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Articles 1  11 of 11
FullText Articles in Physics
Introduction To The Usu Library Of Solutions To The Einstein Field Equations, Ian M. Anderson, Charles G. Torre
Introduction To The Usu Library Of Solutions To The Einstein Field Equations, Ian M. Anderson, Charles G. Torre
Tutorials on... in 1 hour or less
This is a Maple worksheet providing an introduction to the USU Library of Solutions to the Einstein Field Equations. The library is part of the DifferentialGeometry software project and is a collection of symbolic data and metadata describing solutions to the Einstein equations.
The Differentialgeometry Package, Ian M. Anderson, Charles G. Torre
The Differentialgeometry Package, Ian M. Anderson, Charles G. Torre
Downloads
This is the entire DifferentialGeometry package, a zip file (DifferentialGeometry.zip) containing (1) a Maple Library file, DifferentialGeometryUSU.mla, (2) a Maple help file DifferentialGeometry.help. This is the latest version of the DifferentialGeometry software; it supersedes what is released with Maple. It has been tested on Maple versions 17, 18, 2015.
RainichType Conditions For Perfect Fluid Spacetimes, Dionisios Krongos, Charles G. Torre
RainichType Conditions For Perfect Fluid Spacetimes, Dionisios Krongos, Charles G. Torre
Research Vignettes
In this worksheet we describe and illustrate a relatively simple set of new Rainichtype conditions on an ndimensional spacetime which are necessary and sufficient for it to define a perfect fluid solution of the Einstein field equations. Procedures are provided which implement these Rainichtype conditions and which reconstruct the perfect fluid from the metric. These results provide an example of the idea of geometrization of matter fields in general relativity, which is a purely geometrical characterization of matter fields via the Einstein field equations.
RainichType Conditions For Null Electrovacuum Spacetimes Ii, Charles G. Torre
RainichType Conditions For Null Electrovacuum Spacetimes Ii, Charles G. Torre
Research Vignettes
In this second of two worksheets I continue describing local Rainichtype conditions which are necessary and sufficient for the metric to define a null electrovacuum. In other words, these conditions, which I will call the null electrovacuum conditions, guarantee the existence of a null electromagnetic field such that the metric and electromagnetic field satisfy the EinsteinMaxwell equations. When it exists, the electromagnetic field is easily constructed from the metric. In this worksheet I consider the null electrovacuum conditions which apply when a certain null geodesic congruence determined by the metric is twisting. I shall illustrate the these conditions using a ...
How To Find Killing Vectors, Charles G. Torre
How To Find Killing Vectors, Charles G. Torre
How to... in 10 minutes or less
We show how to compute the Lie algebra of Killing vector fields of a metric in Maple using the commands KillingVectors and LieAlgebraData. A Maple worksheet and a PDF version can be found below.
How To Create A TwoComponent Spinor, Charles G. Torre
How To Create A TwoComponent Spinor, Charles G. Torre
How to... in 10 minutes or less
Let (M, g) be a spacetime, i.e., a 4dimensional manifold M and Lorentz signature metric g. The key ingredients needed for constructing spinor fields on the spacetime are: a complex vector bundle E > M ; an orthonormal frame on TM ; and a solder form relating sections of E to sections of TM (and tensor products thereof). We show how to create a twocomponent spinor field on the Schwarzschild spacetime using the DifferentialGeometry package in Maple. PDF and Maple worksheets can be downloaded from the links below.
A Homogeneous Solution Of The EinsteinMaxwell Equations, Charles G. Torre
A Homogeneous Solution Of The EinsteinMaxwell Equations, Charles G. Torre
Research Vignettes
We exhibit and analyze a homogeneous spacetime whose source is a pure radiation electromagnetic field [1]. It was previously believed that this spacetime is the sole example of a homogeneous pure radiation solution of the Einstein equations which admits no electromagnetic field (see [2] and references therein). Here we correct this error in the literature by explicitly displaying the electromagnetic source. This result implies that all homogeneous pure radiation spacetimes satisfy the EinsteinMaxwell equations.
PDF and Maple worksheets can be downloaded from the links below.
How To Create A Lie Algebra, Ian M. Anderson
How To Create A Lie Algebra, Ian M. Anderson
How to... in 10 minutes or less
We show how to create a Lie algebra in Maple using three of the most common approaches: matrices, vector fields and structure equations. PDF and Maple worksheets can be downloaded from the links below.
Lettau Affect Colloquium: Or Seeing Natural Philosophy With Len, L. F. Hall
Lettau Affect Colloquium: Or Seeing Natural Philosophy With Len, L. F. Hall
Leonard F. Hall
I was a SeniorGrad student in the Department of Meteorology at the University of Wisconsin at Madison on 19 December 1969. After purchasing a camera to photograph motorcycle trips, I returned to the 13th floor of the Meteorology and Space Science building in time to attend the annual slide show presented by Professor Heinz H. Lettau. Slides were collected from department members to augment his own and Dr. Lettau organized and presented the set. It was a feast of previously unnoticed phenomena that enriched my life. This presentation of photos and composites celebrates a rich contribution of a Doktor Vater ...
Lettau Affect Colloquium: Or Seeing Natural Philosophy With Len, Leonard Hall
Lettau Affect Colloquium: Or Seeing Natural Philosophy With Len, Leonard Hall
All Physics Faculty Publications
No abstract provided.
Phys 6210  Quantum Mechanics, Spring 2007, Charles G. Torre
Phys 6210  Quantum Mechanics, Spring 2007, Charles G. Torre
Physics  OCW
After completing this course you should (1) have a working knowledge of the foundations, techniques and key results of quantum mechanics; (2) be able to comprehend basic quantum mechanical applications at the research level, e.g., in research articles; (3) be able to competently explain/teach these topics to others; (4) be able to teach yourself any other related quantum mechanics material as you need it.