The spacetime outside a source of gravitational radiation: The axially symmetric null fluid

Abstract

We carry out a study of the exterior of an axially and reflection symmetric source of gravitational radiation. The exterior of such a source is filled with a null fluid produced by the dissipative processes inherent to the emission of gravitational radiation, thereby representing a generalization of the Vaidya metric for axially and reflection symmetric spacetimes. The role of the vorticity, and its relationship with the presence of gravitational radiation is put in evidence. The spherically symmetric case (Vaidya) is, asymptotically, recovered within the context of the $1+3$ formalism.

11 pages Latex. arXiv admin note: text overlap with arXiv:1609.02841. Typos corrected, to appear in Eur. Phys. J. C

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Cited by in corpus (3)

• Axially Symmetric Null dust Spacetime, Naked Singularity and Cosmic Time Machine
• Cylindrical symmetric, non-rotating and non-static or static black hole solutions and the naked singularities
• Gravitational radiation, vorticity and super-energy: A conspicuous threesome