James Isenberg’s research while affiliated with University of California, Berkeley and other places

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Publications (4)


Non-self-dual nonlinear gravitons
  • Article

July 1982

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10 Reads

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10 Citations

General Relativity and Gravitation

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James A. Isenberg

Penrose has given a twistor description of all self-dual complex Riemannian space-times. We modify his construction to characterize all complex Riemannian space-times and all complex teleparallel space-times. This construction may be useful in finding non-self-dual solutions to the gravitational field equations (Einstein's or otherwise) without or with sources. It may also lead to a nonperturbative method for computing path integrals. Whereas Penrose shows that a self-dual space-time may be specified by a deformation of projective twistor space (the set of planes in complex Minkowski space), we find that a Riemannian or teleparallel space-time may be described by a deformation of projective ambitwistor space (the set of null geodesics in complex Minkowski space).


Line space construction of non-self-dual Yang-Mills fields
  • Article
  • Full-text available

January 1979

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47 Reads

Lecture Notes in Physics

Without Abstract

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On determination of Cauchy surfaces from intrinsic properties

February 1978

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76 Reads

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58 Citations

Communications in Mathematical Physics

We consider the problem of determining from intrinsic properties whether or not a given spacelike surface is a Cauchy surface. We present three results relevant to this question. First, we derive necessary and sufficient conditions for a compact surface to be a Cauchy surface in a spacetime which admits one. Second, we show that for a non-compact surface it is impossible to determine whether or not it is a Cauchy surface without imposing some restriction on the entire spacetime. Third, we derive conditions for an asymptotically flat surface to be a Cauchy surface by imposing the global condition that it be imbedded in a weakly asymptotically simple and empty spacetime.

Citations (3)


... 5.1 is that it deals with a class of solutions of (complex) Einstein equations which is not sufficiently general. In [108] and [109] the authors have examined in detail the limits of the anti-self-dual analysis. The two main criticisms are as follows: ...

Reference:

From Spinor Geometry to Complex General Relativity
Non-self-dual nonlinear gravitons
  • Citing Article
  • July 1982

General Relativity and Gravitation

... It is well known that holomorphic Chern-Simons theory on the ambitwistor space is classically equivalent to N " 3 supersymmetric Yang-Mills theory in four dimensions (a theory perturbatively equivalent to N " 4 supersymmetric Yang-Mills theory) at the level of the moduli spaces of solutions and their gauge equivalence classes [1][2][3][4][5][6][7][8][9] (see also [10] for a review). The construction of a corresponding action functional, however, is non-trivial. ...

Non-self-dual gauge fields
  • Citing Article
  • October 1978

Physics Letters B