Titlebook: Complex General Relativity; Giampiero Esposito Book 2002 Springer Science+Business Media Dordrecht 2002 Boundary value problem.Gravity.Min

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Bernhard Ebbinghaus,Jelle Vissernd a pair of independent spinor fields ψ. and .. This chapter studies the corresponding classical properties, i.e. the classical boundary-value problem and boundary terms in the variational problem. If . is set to zero on a three-sphere bounding flat Euclidean four-space, the modes of the massless s

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Volker Eichener,Helmut Voelzkowy considered in one-loop quantum cosmology. This chapter derives the conditions under which spin-lowering and spin-raising operators preserve these local boundary conditions on a three-sphere for fields of spin 0, 1/2, 1, 3/2 and 2. Moreover, the two-component spinor analysis of the four potentials

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Einleitung: Anliegen und Aufbau des Buchesal null twistors, hypersurface twistors and asymptotic twistors. The Penrose transform for gravitation is then re-analyzed, with emphasis on the double-fibration picture. Double fibrations are also used to introduce the ambitwistor correspondence, and the Radon transform in complex analysis is menti

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Introduction to Complex Space-Timeitational physics. They originate from algebraic geometry, Euclidean quantum field theory, the path-integral approach to quantum gravity, and the theory of conformal gravity. The theory of complex manifolds is then briefly outlined. Here, one deals with paracompact Hausdorff spaces where local coord

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Two-Component Spinor Calculusn such vector spaces and their duals, realized by a symplectic form. Moreover, for Lorentzian metrics, complex conjugation is the anti-isomorphism between unprimed and primed spin-space. Finally, for any space-time point, its tangent space is isomorphic to the tensor product of unprimed and primed s

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Twistor spacesnull two-surfaces . in that, if . is any point on ., and if . and . are any two null tangent vectors at . ∈ ., the complexified Minkowski metric η satisfies the identity η.=0. By definition, their null tangent vectors have the two-component spinor form λ.π., where λ. Ais varying and π. is fixed. The

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