From Spinor Geometry to Complex General Relativity

نویسندگان

  • GIAMPIERO ESPOSITO
  • Giampiero Esposito
چکیده

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, heaven spaces and heavenly equations.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

From 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 کامل

The Geometry of Complex Space-times with Torsion

The necessary and sufficient condition for the existence of αsurfaces in complex space-time manifolds with nonvanishing torsion is derived. For these manifolds, Lie brackets of vector fields and spinor Ricci identities contain explicitly the effects of torsion. This leads to an integrability condition for α-surfaces which does not involve just the self-dual Weyl spinor, as in complexified gener...

متن کامل

ar X iv : g r - qc / 9 80 40 33 v 1 1 4 A pr 1 99 8 It ’ s all in GR : spinors , time , and gauge symmetry

This paper shows how to obtain the spinor field and dynamics from the vielbein and geometry of General Relativity. The spinor field is physically realized as an orthogonal transformation of the vielbein, and the spinor action enters as the requirement that the unit time form be the gradient of a scalar time field.

متن کامل

Foundation of quantum mechanics and gauge field theories in scale relativity∗

We have suggested to extend the principle of relativity to scale transformations of the reference systems, then to apply this “principle of scale relativity” to a description of the space-time geometry generalized in terms of a nondifferentiable (therefore fractal) continuum. In such a framework, one can derive from first principles the main postulates of quantum mechanics. The basic tools of q...

متن کامل

Scale Relativity: A Fractal Matrix for Organization in Nature

In this review paper, we recall the successive steps that we have followed in the construction of the theory of scale relativity. The aim of this theory is to derive the physical behavior of a nondifferentiable and fractal space-time and of its geodesics (to which waveparticles are identified), under the constraint of the principle of relativity of all scales in nature. The first step of this c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005