All type D^k spacetimes are identified as degenerate Kundt metrics obeying precise conditions on their metric functions, and any two can be distinguished by their scalar polynomial curvature invariants.
Universal spacetimes in four dimensions
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abstract
Universal spacetimes are exact solutions to all higher-order theories of gravity. We study these spacetimes in four dimensions and provide necessary and sufficient conditions for universality for all Petrov types except of type II. We show that all universal spacetimes in four dimensions are algebraically special and Kundt. Petrov type D universal spacetimes are necessarily direct products of two 2-spaces of constant and equal curvature. Furthermore, type II universal spacetimes necessarily possess a null recurrent direction and they admit the above type D direct product metrics as a limit. Such spacetimes represent gravitational waves propagating on these backgrounds. Type III universal spacetimes are also investigated. We determine necessary and sufficient conditions for universality and present an explicit example of a type III universal Kundt non-recurrent metric.
fields
gr-qc 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
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Locally Boost Isotropic Spacetimes and the Type ${\bf D}^k$ Condition
All type D^k spacetimes are identified as degenerate Kundt metrics obeying precise conditions on their metric functions, and any two can be distinguished by their scalar polynomial curvature invariants.