An Approach to Gravitational Radiation by a Method of Spin Coefficients
@article{Newman1962AnAT,
title={An Approach to Gravitational Radiation by a Method of Spin Coefficients},
author={Ezra Newman and Roger Penrose},
journal={Journal of Mathematical Physics},
year={1962},
volume={3},
pages={566-578}
}A new approach to general relativity by means of a tetrad or spinor formalism is presented. The essential feature of this approach is the consistent use of certain complex linear combinations of Ricci rotation coefficients which give, in effect, the spinor affine connection. It is applied to two problems in radiationtheory; a concise proof of a theorem of Goldberg and Sachs and a description of the asymptotic behavior of the Riemann tensor and metric tensor, for outgoing gravitational radiation…
2,042 Citations
An SU(2) spin coefficient approach to the problem of rigidly rotating fluid
- Physics
- 1975
This paper deals with the problem of a relativistic stationary, axisymmetric, rigidly rotating fluid by means ofPerjés’s three-dimensional spin coefficient formalism. The spin coefficient equivalents…
On dynamic properties of gravitational fields
- Physics
- 1985
Using a theory for the individualization of points of a Riemannian space and introduction or corresponding comoving reference systems for the gravitational field in classical general relativity…
Finding solutions to Einstein's equations in terms of invariant objects
- Mathematics
- 1996
The method for constructing geometries in terms of a set consisting of the curvature tensor and a finite number of its covariant derivatives is extended to determine the isometry group and to find…
Covariant characterization of the separation constants for spin- and gravitational perturbations of the Carter A solution
- Physics
- 1996
It is shown that the separation constant not related to isometries that appears in the solution of the spin- perturbations of the Carter A solution, can be defined in an invariant way as the…
The Newman-Penrose method in the theory of general relativity.
- Physics
- 1979
This survey gives a systematic exposition of the New man-Penrose method and its application to physical problems. The paper discusses the geometric properties of congruences of light rays in a…
Electrodynamics in the general theory of relativity 2. Properties of asymptotically planar spaces with electromagnetic radiation
- Mathematics, Physics
- 1970
The Newman-Penrose method is used to study the asymptotic behavior of spaces with finite sources and electromagnetic and gravitational radiation. Expansions are found for the Maxwell and Weyl tensors…
A new solution of the Einstein–Maxwell equations
- Physics, Mathematics
- 1975
A space–time is determined which is a solution of the Einstein–Maxwell equations for a nonsingular electromagnetic field and for which the electromagnetic field tensor is weakly parallelly propagated…
The Classical Two-Component Spinor Formalisms for General Relativity II
- Physics
- 2012
A complete algebraic description of the spin curvatures that arise in the frameworks of the Infeld-van der Waerden formalisms for general relativity is accomplished on the basis of the construction…
Plane waves in the general theory of relativity
- Physics
- 1969
The Newman-Penrose method is used to study the class of gravitational fields in a vacuum which permit a normal congruence of isotropic geodesies. The energy-momentum tensor is used in tetrad form to…
Tetrads, the Newman-Penrose Formalism and Spinors
- Computer Science
- 1997
The usual method of solution of problems in General Relativity was to use a local coordinate basis to suit a given problem. However, it has been found useful to employ non-coordinate basis techniques…
References
SHOWING 1-10 OF 10 REFERENCES
Some Applications of the Infinitesimal‐Holonomy Group to the Petrov Classification of Einstein Spaces
- Mathematics, Physics
- 1961
The classifications of Einstein spaces by Schell and Petrov are combined and certain nonlocal results are obtained. In particular, we show that an Einstein space cannot be type I with a rank four…
Some Properties of Empty Space‐Time
- Mathematics
- 1961
In close analogy to the ``vierbein'' technique of representing world vectors as linear combinations of four fixed vectors, we have constructed from six linearly independent bivectors a (complete)…
Null Electromagnetic Fields
- Physics, Mathematics
- 1961
It is shown that a field of null rays is geodetic and shear‐free if and only if the associated family of null bivectors includes a solution to Maxwell's equations for charge‐free space.
Theory of Ordinary Differential Equations
- Mathematics
- 1955
The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably…