JMP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Journal of Mathematical Physics / Volume 21 / Issue 1

J. Math. Phys. 21, 154 (1980); http://dx.doi.org/10.1063/1.524341 (7 pages)

On algebraically special space–times with nontwisting rays

Garry Ludwig

Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

With the aid of the Newman–Penrose formalism and Penrose’s conformal technique Einstein’s gravitational field equations are first solved exactly as far as is possible for arbitrary sources. It is assumed, however, that space–time is algebraically special with hypersurface‐orthogonal geodesic and shear‐free rays. Special cases are considered. Next, the asymptotic behavior of the components of the metric tensor, the Weyl tensor, the Ricci tensor and the spin coefficients is determined in a suitable frame. Einstein–Maxwell space–times with the above properties are treated in some detail.

KEYWORDS and PACS

Keywords

SPACE−TIME, EINSTEIN FIELD EQUATIONS, RICCI TENSOR, ASYMPTOTIC SOLUTIONS, SPIN

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524341

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    E. T. Newman and R. Penrose, J. Math. Phys. 3, 566 (1962)JMAPAQ000003000003000566000001.

    E. T. Newman and T. W. J. Unti, J. Math. Phys. 3, 891 (1962)JMAPAQ000003000005000891000001.

    A. R. Exton, E. T. Newman, and R. Penrose, J. Math. Phys. 10, 1566 (1969)JMAPAQ000010000009001566000001.

    D. W. Trim and J. Wainwright, J. Math. Phys. 12, 2494 (1971)JMAPAQ000012000012002494000001.

    D. W. Trim and J. Wainwright, J. Math. Phys. 15, 535 (1974)JMAPAQ000015000005000535000001.

    B. Aronson, R. Lind, J. Messmer, and E. T. Newman, J. Math. Phys. 12, 2462 (1971)JMAPAQ000012000012002462000001.

    J. Foster and E. T. Newman, J. Math. Phys. 8, 189 (1967)JMAPAQ000008000002000189000001.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. On algebraically special space–times with nontwisting rays
  2. The Planck integral cannot be evaluated in terms of a finite series of elementary functions
  3. Structure of the gravitational field at spatial infinity. II. Asymptotically Minkowskian space–times
  4. On the sound field due to a moving source in a superfluid
  5. Spectral and scattering theory for the adiabatic oscillator and related potentials
Go to AIP Home
Copyright © American Institute of Physics
close