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Title: | The Carter constant and Petrov classification of the Vaidya-Einstein-Kerr spacetime |
Authors: | Ramachandra, B. S |
Keywords: | Carter Constant Petrov Classification Asymptotically Non-Flat Spacetime Vaidya–Einstein–Kerr Spacetime Killing Spinor |
Issue Date: | Dec-2009 |
Publisher: | Springer |
Citation: | General Relativity and Gravitation, Vol. 41, No. 12, pp. 2757 - 2770 |
Abstract: | 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. |
Description: | Restricted Access |
URI: | http://hdl.handle.net/2248/4940 |
ISSN: | 0001-7701 |
Appears in Collections: | IIAP Publications |
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The Carter constant and Petrov classification of the Vaidya-Einstein-Kerr spacetime Restricted Access | Restricted Access | 161.65 kB | Adobe PDF | View/Open Request a copy |
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