1974 — 1984 
Winicour, Jeffrey (coPI) [⬀] Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Radiation Problems in General Relativity @ University of Pittsburgh 
0.915 
1980 — 1982 
Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Twistor Theory; Its Applications to General Relativity and Particle Theory @ University of Pittsburgh 
0.915 
1980 — 1984 
Hsieh, S. Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
YangMills Theories of Gravitation @ University of Pittsburgh 
0.915 
1984 — 1992 
Winicour, Jeffrey (coPI) [⬀] Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Radiation Problems in General Relativity (Physics) @ University of Pittsburgh
This project involves the application of Einstein's General Theory of Relativity to a theoretical investigation of systems with nonNewtonian gravitational forces. Electric forces are due to charged particles and are responsible for the orbiting electron structure of atoms and molecules; the gravitational analog is the attractive force of gravity. Magnetic forces are due to the motion of charges in current loops. They display a much richer variety of effects. Their gravitational analogs, which arise from the motion of massive objects, were unknown to Newton but are predicted by Einstein's theory. One aspect of this research is the exploration of possible roles these forces play in astronomical systems. Light and radio waves constitute a combination of electric and magnetic forces into a wave. The same is true of their gravitational analogs which again are predicted by Einstein's theory. A major portion of this project involves the study of the properties of these gravitational waves, such as their energy content, their quantum properties analogous to the photon composition of light and the way they are produced by stars and galaxies. This highly mathematical work should improve our understanding of black holes, gravitational radiation, and the proper construction of a consistent quantum theory of gravity.

0.915 
1989 — 1990 
Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
U.S.Argentina Cooperative Research On Relativity Equations @ University of Pittsburgh
This award supports cooperative research in relativity between Ezra Newman, Jeffrey Winicour and others in the physics department at the University of Pittsburgh and Reinaldo Gleiser, Victor Hamity and Carlos Kozameh, all of the Faculty of Mathematics, Astronomy and Physics of the National University of Cordoba, Argentina. They will study four areas in general relativity: global structure of gravitational fields, YangMills theory (the holonomic operator and soluble groups), techniques for the generation of solutions to the Einstein equations and finally, a numerical investigation of general relativity for comparison with analytic solutions of the full Einstein equation. The cooperation between these two institutions began in 1980 and has since grown steadily and has led to several highly regarded joint papers. This formal collaboration will further strengthen that relationship.

0.915 
1992 — 1998 
Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Radiation Problems and Other Mathematical Aspects of Einstein's Theory of General Relativity @ University of Pittsburgh
This Pittsburgh project, under the direction of Professor E. Newman comprises the study of both the classical and quantum aspects of the properties of gravitational waves. The novel feature of this study is due to a reformulation of Einstein's equations in terms of certain new, nonlocal variables which appear to be more adapted to the analysis of the phenomena.

0.915 
1992 — 1994 
Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
U.S.Argentina Cooperative Research On General Relativity @ University of Pittsburgh
This award from the U.S.Argentina Cooperative Science Program supports cooperative research in physics to be conducted by Dr. Ezra T. Newman of the Department of Physics and Astronomy at the University of Pittsburgh and Dr. Karlos Kozameh of the faculty of Mathematics, Astronomy and Physics at the University of Cordoba, Argentina. The focus of the project is to probe a novel and unconventional viewpoint towards geometry and the Einstein field equations of general relativity. The research relies on the reformulation of general relativity that allows the equations to be split into two parts, where one part allows the D'Adhemarlike formulation while the other part yields equations for the determination of the light cones. The award will foster continuation of a productive U.S.Argentina collaboration.

0.915 
1997 — 2007 
Newman, Ezra 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Mathematical Aspects of Einstein's Theory of General Relativity @ University of Pittsburgh
This project will involve work on several related, but different topics, all of which are associated with mathematical aspects of Einstein's General Theory of Relativity. The first and probably the most significant of the topics is the study of what is referred to as families of null surfaces, families of threedimensional surfaces embedded in spacetime on which high frequency electromagnetic waves travel. It turns out that General Relativity can be reformulated as equations for these surfaces. This forms a rich research area which borders on both physical and mathematical issues and their intimate relationships. The second topic deals with a practical aspect of properties of these null surfaces. The entire theory of gravitational lensing  now a basic astrophysical tool  can be formulated in terms of null surfaces and their properties. Using these null surfaces one can go beyond the (usual) thin lens predictions and find corrections to the thin lens predictions that could be tested. A third topic is a return to the long neglected study of the physical meaning and applications of certain mathematical expressions that appear in algebraically special EinsteinMaxwell fields.
The first topic will clarify some beautiful and deep relations between ideas associated with the propagation of high frequency electromagnetic waves in spacetime and very abstract mathematical theorems concerning ordinary and partial differential equation theory. It also should shed light, via a very unconventional point of view, on the structure of the Einstein equations. The second topic should or could be useful for the explanation of certain anomalies in the observations of magnifications in gravitational lensing. There is evidence that the last topic will clarify the potentially deep relationship between intrinsic magnetic moments and spin angular momentum that appears to arise naturally in general relativity.

0.915 