Robert Geroch

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Robert Paul Geroch (born June 1, 1942 in Akron , Ohio ) is an American theoretical physicist and mathematician who mainly deals with general relativity (AR).

Geroch studied physics at the Massachusetts Institute of Technology with a bachelor's degree in 1963 and received his doctorate in 1967 from Princeton University with John Archibald Wheeler ( Singularities in the Spacetime of General Relativity: Their Definition, Existence, and Local Characterization ). As a post-doctoral student he was a Fellow of the Airforce Office of Scientific Research and then the National Science Foundation at Birkbeck College, University of London (1967/68) and 1969/70 at Syracuse University (a center for research into AR in the USA) . 1970 to 1971 he was Associate Professor at the University of Texas at Austin and from 1971 at the Enrico Fermi Institute at the University of Chicago , where he was Professor of Mathematics and Physics in 1975. He has been Professor Emeritus since 2011.

In the AR, among other things, the Geroch energy or mass is named, one of the attempts to define an invariant mass in the AR, and the Geroch group as a symmetry group of axially symmetrical stationary vacuum solutions of the AR.

In addition to AR and relativistic hydrodynamics, he deals with general questions in mathematical physics. Among his research interests, he lists in particular partial differential equations in physics, in particular quasi-linear hyperbolic partial differential equations of the first order, which according to Geroch are able to describe a large part of classical physics, and in quantum mechanics Feynman's path integrals , which are for a special class of evolution operators, the are also close to the restricted operators in Hilbert spaces, can be precisely defined mathematically. His interest in a general category-theoretical framework for the application of measure and integration theory in physics also arose from the latter area .

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Some recent work on global properties of spacetimes ). In 1972 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).

His PhD students include Gary Horowitz and Abhay Ashtekar .

Fonts

  • Mathematical Physics , University of Chicago Press 1985.
  • Asymptotic Structure of Space-time , in TP Esposito, Louis Witten (Editor) Asymptotic Structure of Space-time , Plenum Press 1977.
  • General Relativity from A to B University of Chicago Press, 1978.
  • with James B. Hartle Distorted Black Holes , Journal of Mathematical Physics, Volume 23, 1982, p. 680.
  • with L. Lindblom Dissipative Relativistic Fluid Theories of Divergence Type , Physical Review D, Volume 41, 1990, p. 1855.
  • with SM Perng Total Mass-Momentum of Arbitrary Initial-data sets in General Relativity , Journal of Mathematical Physics, 'Volume 35, 1994, p. 4157.
  • Relativistic Theories of Dissipative Fluids , Journal of Mathematical Physics, Volume 36, 1995, p. 4226.
  • Perspectives in computation , University of Chicago Press 2009.
  • Geometrical Quantum Mechanics . Lecture Notes. 1974 ( box.com ).
  • General Relativity: 1972 Lecture Notes . Minkowski Institute Press, Montreal 2013, ISBN 978-0-9879871-7-4 ( box.com ).

Web links

  • Homepage. University of Chicago, 2011, archived from the original on September 19, 2016 .;

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ Robert P. Geroch, Professor Emeritus. University of Chicago, accessed November 8, 2018 .
  3. ↑ Homepage at the University of Chicago, see web links, accessed on July 12, 2012
  4. ^ Mathematics Genealogy Project
personal data
SURNAME Smell, Robert
ALTERNATIVE NAMES Smell, Robert Paul
BRIEF DESCRIPTION American theoretical physicist
DATE OF BIRTH June 1, 1942
PLACE OF BIRTH Akron