The Carter constant and Petrov classification of the Vaidya-Einstein-Kerr spacetime

Details The Carter constant and Petrov classification of the Vaidya-Einstein-Kerr spacetime The Carter constant and Petrov classification of the Vaidya-Einstein-Kerr spacetime

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2757r&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 12, pp.2757-2770

Computer Science

1

Carter Constant, Petrov Classification, Asymptotically Non-Flat Spacetime, Vaidya–Einstein–Kerr Spacetime, Killing Spinor

Scientific paper

The existence of the Carter constant in the Vaidya-Einstein-Kerr (VEK) spacetime and its relation to the Petrov type is investigated. This spacetime is an example of a black hole in an asymptotically non-flat background. We construct the Carter constant and obtain the Killing tensor in the VEK spacetime. The Newman-Penrose formalism is employed to obtain the spin coefficients. We present a complete (Petrov) classification of the VEK spacetime and the special case of the non-rotating Vaidya-Einstein-Schwarzschild spacetime. We demonstrate explicitly that both spacetimes are of type-D.

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