Plane fronted limit of spherical electromagnetic and gravitational waves

  title={Plane fronted limit of spherical electromagnetic and gravitational waves},
  author={Peter A. Hogan and Dirk Puetzfeld},
  journal={Physical Review D},
We demonstrate how plane fronted waves with colliding wave fronts are the asymptotic limit of spherical electromagnetic and gravitational waves. In the case of the electromagnetic waves we utilize Bateman’s representation of radiative solutions of Maxwell’s vacuum field equations. The gravitational case involves a novel form of the radiative Robinson–Trautman solutions of Einstein’s vacuum field equations. 



Gravitational waves with colliding or noncolliding wave fronts

The known exact solutions of Einstein’s vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We

The plane-fronted gravitational waves

This paper is a contribution to the theory of pure radiation in General Relativity. It gives a survey of the radiation fields which possess a twistfree and non-expanding null congruence, and

Some spherical gravitational waves in general relativity

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Einstein's equations for empty space are solved for the class of metrics which admit a family of hypersurface-orthogonal, non-shearing, diverging null curves. Some of these metrics may be considered

Spherical gravitational waves

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    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
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The field of gravitational radiation emitted from two moving particles is investigated by means of general relativity. A method of approximation is used, and in the linear approximation retarded

An Approach to Gravitational Radiation by a Method of Spin Coefficients

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

The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations, United States, 2012. Paperback. Book Condition: New. 246 x 189 mm. Language: English . Brand New Book ***** Print on Demand *****.This historic book may have numerous typos and

Relativity: The Special Theory

On Riemann Spaces Conformal to Euclidean Space.

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    Proceedings of the National Academy of Sciences of the United States of America
  • 1923

Null Hypersurfaces in de Sitter and anti-de Sitter Cosmologies

The study of gravitational waves in the presence of a cosmological constant has led to interesting forms of the de Sitter and anti-de Sitter line elements based on families of null hypersurfaces. The

Distance and the asymptotic behavior of waves in general relativity

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  • 1962