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Algebraically Special Gravitational Fields with the Cosmological Constant and Energy-Momentum Tensor of Electromagnetic Radiation

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Abstract

A class of rigorous solutions of the Einstein–Maxwell equations is obtained within the Newman–Penrose formalism for algebraically special gravitational fields with the cosmological constant and energy-momentum tensor of electromagnetic radiation given that the photon flux specifying electromagnetic radiation determines isotropic-geodesic congruence. Designations within the Newman–Penrose formalism and numbers of formulas in references are the same as in [1].

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REFERENCES

  1. S. Chandrasekhar, The Mathematical Theory of Black Holes, Part 1 [Russian translation], Mir, Moscow (1986).

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  2. A. Z. Petrov, New Methods of Relativity Theory [in Russian], Nauka, Moscow (1966).

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  3. H. Shtefani et al., Exact Solutions of Einstein's Field Equations [Russian translation], Énergoizdat, Moscow (1982).

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Authors and Affiliations

  1. V. I. Ul'yanov-Lenin Kazan' State University, Russia

    V. R. Kaigorodov & S. V. Nesterov

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  1. V. R. Kaigorodov
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  2. S. V. Nesterov
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Kaigorodov, V.R., Nesterov, S.V. Algebraically Special Gravitational Fields with the Cosmological Constant and Energy-Momentum Tensor of Electromagnetic Radiation. Russian Physics Journal 46, 21–28 (2003). https://doi.org/10.1023/A:1024040400717

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  • DOI: https://doi.org/10.1023/A:1024040400717

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