Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes
Fuente, Daniel de la
Rubio, Rafael M.
Salamanca, Juan J.
SubjectStable maximal hypersurfaces
Infinitesimal conformal symmetry
Generalized Robertson-Walker spacetime
METS:Mostrar el registro METS
PREMIS:Mostrar el registro PREMIS
MetadataShow full item record
We obtain new simple sufficient conditions to ensure the stability and strong stability of maximal hypersurfaces (without boundary) immersed in an arbitrary spacetime. Several applications to maximal hypersurfaces in a spatially open or closed spacetime endowed with an infinitesimal causal symmetry are also given.
FuenteGeneral Relativity and Gravitation 49, 129 (2017)
Versión del Editorhttps://doi.org/10.1007/s10714-017-2295-7
Showing items related by title, author, creator and subject.
Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (SpringerLink, 2019)In this paper we introduce a new general approach for the study of spacetimes admitting a standard static splitting. This approach allows us to give an alternative proof for the uniqueness of splitting in the spatially ...
Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (IOP Publishing, 2020)A Lorentz manifold (M, g) is said to be a conformally stationary spacetime if it is endowed with a globally defined conformal timelike vector field K, whereas it is a pp-wave when there is a globally defined parallel ...
Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes Caballero, Magdalena; Fuente, Daniel de la; Rubio, Rafael (Springer, 2019)We introduce and analyze the concept of infinitesimal relative position vector field between “infinitesimally nearby” observers, showing the equivalence between different definitions. Through the Fermi–Walker derivative ...