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• W3193843669 abstract "Using the principle of least action, the motion equations for a singular hypersurface of arbitrary type in quadratic gravity are derived. Equations containing the external pressure and the external flow components of the surface energy-momentum tensor together with the Lichnerowicz conditions serve to find the hypersurface itself, while the remaining ones define arbitrary functions that arise due to the implicit presence of the delta function derivative. It turns out that neither double layers nor thin shells exist for the quadratic Gauss-Bonnet term. It is shown that there is no external pressure for null singular hypersurfaces. The Lichnerowicz conditions imply the continuity of the scalar curvature in the case of spherically symmetric null singular hypersurfaces. These hypersurfaces must be thin shells if the Lichnerowicz conditions are necessary. It is shown that for this particular case the Lichnerowicz conditions can be completely removed therefore a spherically symmetric null double layer exists. Spherically symmetric null singular hypersurfaces in conformal gravity are explored as application." @default.
• W3193843669 created "2021-08-30" @default.
• W3193843669 creator A5080958658 @default.
• W3193843669 date "2022-06-30" @default.
• W3193843669 modified "2023-09-25" @default.
• W3193843669 title "Lightlike singular hypersurfaces in quadratic gravity" @default.
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• W3193843669 doi "https://doi.org/10.1142/s0218271822500778" @default.
• W3193843669 hasPublicationYear "2022" @default.
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