Robert Geroch

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Robert Geroch
Born (1942-06-01) 1 June 1942 (age 80)
NationalityAmerican
Known forGeroch energy
Geroch's splitting theorem
Geroch group
Scientific career
FieldsPhysics
Mathematics
InstitutionsUniversity of Chicago
Doctoral advisorJohn Archibald Wheeler
Doctoral studentsAbhay Ashtekar
Gary Horowitz
Basilis C. Xanthopoulos

Robert Geroch (born 1 June 1942 in Akron, Ohio)[1] is an American theoretical physicist and professor at the University of Chicago. He has worked prominently on general relativity and mathematical physics and has promoted the use of category theory in mathematics and physics. He was the Ph.D. supervisor for Abhay Ashtekar, Basilis Xanthopoulos and Gary Horowitz. He also proved an important theorem in spin geometry.[2][3]

Education[edit]

Geroch obtained his Ph.D. degree from Princeton University in 1967 under the supervision of John Archibald Wheeler, with a thesis on Singularities in the spacetime of general relativity: their definition, existence, and local characterization.[4]

Writings[edit]

Chapters[edit]

  • Horowitz, G.T and Geroch, R.P. (1979) "Global structure of spacetimes", p.212--293. In Hawking S.W. and Israel, W (eds): General Relativity: An Einstein Centenary Survey. Cambridge University Press 1979 (ISBN: 9780521299282)

Articles[edit]

  • Geroch, R.P. (1966) "Singularities in closed universes," Phys.Rev.Lett. 17 (1966) 445--447. https://doi.org/10.1103/PhysRevLett.17.445
  • Geroch, R.P. (1967) "Topology in general relativity," J.Math.Phys. 8, 782--786. https://doi.org/10.1063/1.1705276
  • Geroch, Robert (1968), "Spinor Structure of Space-Times in General Relativity. I", Journal of Mathematical Physics, 9 (11): 1739–1743, Bibcode:1968JMP.....9.1739G, doi:10.1063/1.1664507
  • Geroch, R.P. (1970) "Multipole Moments. I. Flat Space" J.Math.Phys. 11, (1970), 1955-1961. https://doi.org/10.1063/1.1665348
  • Geroch, R.P. (1970) "The Domain of Dependence," J.Math.Phys. 11 (1970) 437--439. https://doi.org/10.1063/1.1665157
  • Geroch, R.P. (1971) "Space-time structure from a global viewpoint," Rend. Scu. Int. Fis. Enrico Fermi 47: 71-103(1971); in B.K.Sachs, ed. , General Relativity and Cosmology (New York, Academic Press, 1971).
  • Geroch, R.P. (1971) "A Method for generating solutions of Einstein's equations," J.Math.Phys. 12 (1971) 918--924. https://doi.org/10.1063/1.1665681
  • Geroch, R.P. (1972) "A Method for generating solutions of Einstein's equations. 2.," J.Math.Phys. 13 (1972) 394--404. https://doi.org/10.1063/1.1665990

Books[edit]

Unpublished notes[edit]

See also[edit]

Notes[edit]

  1. ^ American Men and Women of Science, Thomson Gale, 2004
  2. ^ Geroch, Robert (1968), "Spinor Structure of Space-Times in General Relativity. I", Journal of Mathematical Physics, 9 (11): 1739–1743, Bibcode:1968JMP.....9.1739G, doi:10.1063/1.1664507
  3. ^ Parker, Phillip E. (1984), "On some theorems of Geroch and Stiefel", Journal of Mathematical Physics, 25 (3): 597–599, doi:10.1063/1.1665067
  4. ^ Robert Geroch at the Mathematics Genealogy Project

External links[edit]