FROM SPINOR GEOMETRY TO COMPLEX GENERAL RELATIVITY
نویسندگان
چکیده
منابع مشابه
From Spinor Geometry to Complex General Relativity
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, α-planes in Minkowski space-time, α-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heave...
متن کاملFrom Spinor Geometry to Complex General
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, α-planes in Minkowski space-time, α-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heave...
متن کاملA Spinor Approach to General Relativity
A calculus for general relativity is developed in which the basic role of tensors is taken over by spinors. The Riemann-Christoffel tensor is written in a spinor form according to a scheme of Witten. It is shown that the curvature of empty space can be uniquely characterized by a totally symmetric four-index spinor which satisfies a first order equation formally identical with one for a zero re...
متن کاملPseudo-complex General Relativity
An extension of the theory of General Relativity is proposed, based on pseudo-complex space-time coordinates. The new theory corresponds to the introduction of two, in general different, metrics which are connected through specific conditions. A pseudo-complex Schwarzschild solution is constructed, which does not suffer any more by a singularity. The solution indicates a minimal radius for a he...
متن کاملNonlinear Spinor and Scalar Fields in General Relativity
We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor forms S = ψ̄ψ and P = iψ̄γ5ψ; the scalar Lagrangian is chosen as an arbitrary function of the scalar invariant Υ = φ,αφ ,α, that becomes linear at Υ → 0. The sp...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2005
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887805000752