Topics in Mathematical Relativity

• Grant number: 12/11950-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date until: January 01, 2013
• End date until: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Jónatan Herrera Fernández
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

Our plan is to study several notions of boundary (like the causal boundary, or the conformal boundary) in different classes of general relativistic spacetimes. Special emphpasis will be given to multiwarped spacetimes, which include as special cases the generalized Robertson Walker spacetimes, theintermediate zone of the Reissner-Norsdström spacetimeand the Schwarzschild black holes.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FLORES, J. L.; HERRERA, J.; SANCHEZ, M.. Hausdorff separability of the boundaries for spacetimes and sequential spaces. Journal of Mathematical Physics, v. 57, n. 2, FEB 2016. (12/11950-7)

CAROLINA GARCIA-MARTINEZ, S.; HERRERA, JONATAN. Rigidity and Bifurcation Results for CMC Hypersurfaces in Warped Product Spaces. JOURNAL OF GEOMETRIC ANALYSIS, v. 26, n. 2, p. 1186-1201, APR 2016. (12/22490-7, 12/11950-7)

HERRERA, JONATAN; ANGEL JAVALOYES, MIGUEL; PICCIONE, PAOLO. On a monodromy theorem for sheaves of local fields and applications. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v. 111, n. 4, p. 999-1029, OCT 2017. (12/11950-7)