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Classification of stationary space-times

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Abstract

A systematic approach to the geometric structure of stationary gravitational fields is presented. The algebraic type of the trace-free Ricci tensor together with the propagation properties of the eigenrays in the background 3-space defined by the Killing trajectories serve as a basis for classifying the solutions of the stationary field equations. The eigenrays are the integral curves belonging to the solutions ξA of the eigenvalue problemG BA ξB=μξA,G BA spinor representing the gravitational field in the background space. Many of the already known stationary metrics can be derived in the present scheme but new solutions of the field equations are also obtained. The possible types of the vacuum and electrovac fields are discussed in their connection with the corresponding exact solutions.

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Author notes

  1. Zoltán Perjés

    Present address: Central Research Institute for Physics, P.O.B. 49, 114, Budapest, Hungary

Authors and Affiliations

  1. Department of Mathematics, Birkbeck College, University of London, UK

    Zoltán Perjés

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  1. Zoltán Perjés
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Additional information

Work honoured by a Fifth Gravity Research Foundation Award in 1973.

Leverhulme Visiting Fellow.

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Perjés, Z. Classification of stationary space-times. Int J Theor Phys 10, 217–227 (1974). https://doi.org/10.1007/BF01811250

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  • DOI: https://doi.org/10.1007/BF01811250

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