Browsing by Subject "Field equation"
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Item Open Access Anti-de sitter-wave solutions of higher derivative theories(American Physical Society, 2013) Gürses, M.; Hervik, S.; Şişman, T. Ç.; Tekin, B.We show that the recently found anti-de Sitter (AdS)-plane and AdS-spherical wave solutions of quadratic curvature gravity also solve the most general higher derivative theory in D dimensions. More generally, we show that the field equations of such theories reduce to an equation linear in the Ricci tensor for Kerr-Schild spacetimes having type-N Weyl and type-N traceless Ricci tensors. © 2013 American Physical Society.Item Open Access Integrability of three dimensional gravity field equations(IOP Publishing Ltd, 2022-02-10) Gurses, MetinWe show that the tree dimensional Einstein vacuum feld equations with cosmological constant are integrable. Using the sl(2, R) valued soliton connections we obtain the metric of the spacetime in terms of the dynamical variables of the integrable nonlinear partial diferential equations. © 2021 Published under licence by IOP Publishing Ltd.