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Higher dimensional Vaidya metric in Einstein and de Sitter background

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Abstract

Spherically symmetric non-static higher dimensional metrics are considered in connection with Einstein’s field equations. Two exact solutions are derived. One of them corresponds to a mixture of perfect fluid and pure radiation field and represents higher dimensional Vaidya metric in the cosmological background of Einstein static universe. The other corresponds to a pure radiation field and represents higher dimensional Vaidya metric in the background de Sitter universe. For both of these solutions, the cosmological constant is taken to be non-zero. Many known solutions are derived as particular cases.

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Authors and Affiliations

  1. Department of Mathematics, Gujarat University, 380 009, Ahmedabad, India

    L K Patel & Lakshmi S Desai

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  1. L K Patel
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  2. Lakshmi S Desai
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Patel, L.K., Desai, L.S. Higher dimensional Vaidya metric in Einstein and de Sitter background. Pramana - J Phys 48, 819–824 (1997). https://doi.org/10.1007/BF02845615

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  • DOI: https://doi.org/10.1007/BF02845615

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