A new approach to the study of spacelike submanifolds in a spherical Friedmann–Lemaître–Robertson–Walker spacetime: characterization of the stationary spacelike submanifolds as an application

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 56; no. 24; pp. 245202 - 245216
• Main Authors: Ferreira, D, Lima, E A, Palomo, F J, Romero, A
• Format: Journal Article
• Language: English
• Published: IOP Publishing 16.06.2023
• Subjects: isometric embedding; Lorentz–Minkowski spacetime; mean curvature; Robertson–Walker spacetime; spacelike submanifolds

Abstract A natural codimension one isometric embedding of each ( n + 1 ) -dimensional spherical Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime I × f S n in the ( n + 2 ) -dimensional Lorentz–Minkowski spacetime L n + 2 permits to contemplate I × f S n as a rotation Lorentzian hypersurface in L...