Bernal, A.N. and Sánchez, M. (2005) Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes. Communications in Mathematical Physics, 257, 43-50.
https://doi.org/10.1007/s00220-005-1346-1

has been cited by the following article:

• TITLE: Amalgamated Geometric Structure of the Local Multiverse

  AUTHORS: Igor Yu Potemine

  KEYWORDS: Einstein Manifold, Lorentzian Manifold, Multiverse

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.7 No.4, August 27, 2021

  ABSTRACT: We consider multiverses as time-amalgamated multiply warped products of Lorentzian (Einstein) manifolds. We define the Local Multiverse as a time-connected component associated with our physical (3 + 1)-spacetime. It is a collection of “parallel universes” with (mutually) synchronized timelines. Metaphysical considerations suggest that the Local Multiverse could be an extremely complex agglomeration with, at least, several hundred parallel universes in the Solar neighbourhood (and many thousands in galaxy bulks). In this paper we study a simplified time-almagamated globally hyperbolic model. Our picture implies the multiversality of elementary particles which are, actually, transcosmic (super)strings with multiple endpoints on parallel universes considered as D-branes.