Curvature invariants in type-III spacetimes

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In this Subject: Nuclear Physics
By this author: Pravda V.

Author: Pravda V.

Source: Classical and Quantum Gravity, Volume 16, Number 10, 1999 , pp. 3321-3326(6)

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Abstract:

The results of Bic?k and Pravda (1998 Class. Quantum Grav.15 1539) are generalized for vacuum type-III solutions with, in general, a non-vanishing cosmological constant . It is shown that all curvature invariants containing derivatives of the Weyl tensor vanish if a type-III spacetime admits a non-expanding and non-twisting null geodesic congruence. A non-vanishing curvature invariant containing first derivatives of the Weyl tensor is found in the case of type-III spacetime with expansion or twist.

Language: English

Document Type: Miscellaneous

Publication date: 1999-01-01