Spacelike hypersurfaces with negative total energy in de Sitter spacetime
Spacelike hypersurfaces with negative total energy in de Sitter spacetime
De Sitter spacetime can be separated into two parts along two kinds of hypersurfaces and the half-de Sitter spacetimes are covered by the planar and hyperbolic coordinates, respectively. Two positive energy theorems were proved previously for certain \documentclass[12pt]{minimal}\begin{document}$\mathcal P$\end{document}P-asymptotically de Sitter and \documentclass[12pt]{minimal}\begin{document}$\mathcal H$\end{document}H-asymptotically de Sitter initial data sets by …