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

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Complex Space-Times with Torsionauge theory of the Poincaré group leads to its presence, the constraints are second-class and the occurrence of cosmological singularities can be less generic than in general relativity. In a space-time manifold with non-vanishing torsion, the Riemann tensor has 36 independent real components at eac

领袖气质

Spin-1/2 Fields in Riemannian Geometriesnd 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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盘旋

Underlying Mathematical Structuresal 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

Ligament

0168-1222 ativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculu

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Introduction to Complex Space-Timeinates transform by complex-analytic transformations. Examples are given such as complex projective space . non-singular sub-manifolds of ., and orientable surfaces. The plan of the whole monograph is finally presented, with emphasis on two-component spinor calculus, Penrose transform and Penrose formalism for spin-3/2 potentials.

Ischemia

Conformal Gravityt is shown that a space-time is conformal to an Einstein space if and only if some equations involving the Weyl spinor, its covariant derivatives, and the trace-free part of Ricci are satisfied. Such a result is then extended to complex Einstein spaces. The conformal structure of infinity of Minkowski space-time is introduced in the end.

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Brain-Waves

Ausbruch aus dem Elfenbeinturm,t is shown that a space-time is conformal to an Einstein space if and only if some equations involving the Weyl spinor, its covariant derivatives, and the trace-free part of Ricci are satisfied. Such a result is then extended to complex Einstein spaces. The conformal structure of infinity of Minkowski space-time is introduced in the end.

Celiac-Plexus

https://doi.org/10.1007/978-3-322-80792-2an geometries is also discussed in detail. The Maxwell field strength is written in this language, and many useful identities are given. The curvature spinors of general relativity are then constructed explicitly, and the Petrov classification of space-times is obtained in terms of the Weyl spinor for conformal gravity