Asian Journal of Mathematics

GLOBAL SOLUTIONS OF EINSTEIN-DIRAC EQUATION

QIKENG LU , SHIKUN WANG , and KE WU

Abstract

The conformal space \frac M was introduced by Dirac in 1936. It is an algebraic manifold with a spin structure and possesses naturally an invariant Lorentz metric. By carefully studying the birational transformations of \frac M, we obtain explicitly the transition functions of the spin bundle over \frac M. Since the transition functions are closely related to the propagation in physics, we get a kind of solutions of the Dirac equation by integrals constructed from the propagation. Moreover, we prove that the invariant Lorentz metric together with one of such solutions satisfies the Einstein-Dirac combine equation

Article information

Source
Asian J. Math., Volume 8, Number 1 (2004), 001-026.

Dates
First available in Project Euclid: 21 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1087840905

Mathematical Reviews number (MathSciNet)
MR2128294

Zentralblatt MATH identifier
1074.53041

Citation

LU, QIKENG; WANG, SHIKUN; WU, KE. GLOBAL SOLUTIONS OF EINSTEIN-DIRAC EQUATION. Asian J. Math. 8 (2004), no. 1, 001--026. https://projecteuclid.org/euclid.ajm/1087840905


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