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Öğe A derivation of Weyl-Lanczos equations(Springer Verlag, 2018) Baykal A.; Ünal B.The Lanczos potential for the Weyl tensor is derived from a quadratic curvature Lagrangian by making use of the exterior algebra of forms and the variational principles with constraints. © 2018, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.Öğe Abbott-Deser energy in connection with Thirring's superpotentials(Institute of Physics Publishing, 2018) Baykal A.; Dereli T.We linearize vacuum Einstein field equations with a cosmological constant around a curved background to elaborate on the reconstruction of the Abbott-Deser charges and incorporate a spin connection into the definition using the algebra of differential forms on a given curved background spacetime. © CopyrightEPLA, 2018.Öğe Impulsive gravitational waves in general massive 3D gravity(American Physical Society, 2017) Baykal A.; Dereli T.Impulsive, nondiverging, Petrov-Segre type-N gravitational wave solutions to a general massive three-dimensional gravity in the de Sitter, anti-de Sitter, and flat Minkowski backgrounds are constructed in a unified manner by using the exterior algebra of differential forms. © 2017 American Physical Society.