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Donaldson, S.K. and Kron Heimer, P.B. (1997) The Geometry of Four-Manifolds. Oxford University Press.

has been cited by the following article:

• TITLE: Relativistic Quantum Dirac-Like Equation for Arbitrary Spin in General Global Curved Spacetime

  AUTHORS: Amnon Moalem

  KEYWORDS: Relativistic Quantum Equation, Curved Spacetime, Vierbein Fields

  JOURNAL NAME: Journal of Modern Physics, Vol.17 No.2, February 13, 2026

  ABSTRACT: A relativistic quantum equation for free particles of any spin in a global curved spacetime is derived. Using this equation, it is demonstrated that in axially symmetric spacetimes, the wave function factorizes into a reduced wave function and an analytically determined normalization function. In spherical coordinates, the reduced wave function splits into a reduced angular wave function identically the same as in a flat Minkowski spacetime and a radial wave function which satisfies a second order non-homogeneous differential equation with nonhomogeneous terms depending on the ratio of time to space curvatures.