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Radial conformal killing vectors in spherically symmetric shear-free space-times

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Abstract

The existence of “radial” conformai Killing (RCK) vector fields is discussed for metrics describing spherically symmetric, shear-free, perfect fluids. It is shown that conformally flat metrics admit three RCK fields, while nonconformally flat metrics might admit, at most, one such field. An RCK vector parallel to the 4-velocity of the fluid occurs in a subclass of conformally flat metrics containing the Friedmann-Robertson-Walker space-times as particular cases. A new class of nonconformally flat, self-similarity solutions is found. The necessary conditions for the existence of an RCK field in other nonconformally flat metrics are given in full.

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Authors and Affiliations

  1. Racah Institute of Physics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Roberto A. Sussman

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  1. Roberto A. Sussman
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Sussman, R.A. Radial conformal killing vectors in spherically symmetric shear-free space-times. Gen Relat Gravit 21, 1281–1301 (1989). https://doi.org/10.1007/BF00763315

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  • DOI: https://doi.org/10.1007/BF00763315

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