Igor Mol

Participação em eventos

Produções bibliográficas

• MOL, IGOR . The Non-metricity Formulation of General Relativity. Advances in Applied Clifford Algebras , v. 27, p. 2607-2638, 2017.

• MOL, IGOR . Revisiting a Class of pp?wave Solutions of Einstein-Maxwell Equations with Exterior Calculus. Revisiting a Class of pp?wave Solutions of Einstein-Maxwell Equations with Exterior Calculus. 295ed.: , 2018, v. , p. 150-.

• MOL, IGOR . Revisiting the Schwarzschild Solution, the Kruskal-Szekeres Maximal Ex- tension and the Kasner-Fronsdal Embedding. Revisiting the Schwarzschild Solution, the Kruskal-Szekeres Maximal Ex- tension and the Kasner-Fronsdal Embedding. 1ed.: , 2016, v. , p. 153-.

• MOL, IGOR . Revisiting the Schwarzschild Solution, the Kruskal-Szekeres Maximal Ex- tension and the Kasner-Fronsdal Embedding. 2015. (Apresentação de Trabalho/Congresso).

• MOL, IGOR . Revisiting a Class of pp?wave Solutions of Einstein-Maxwell Equations with Exterior Calculus. 2015. (Apresentação de Trabalho/Congresso).

Projetos de pesquisa

• 2015 - 2016

  Iniciação Científica: "Revisiting a Class of pp?wave Solutions of Einstein-Maxwell Equations with Exterior Calculus", Descrição: Employing the formalism of exterior forms, we revisit from a rigorous mathematical point of view a family of pp?solutions to the Einstein- Maxwell equations, describing a coupled system of electromagnetic-gravitational waves. It is shown that the curvature of the spacetime supporting these electromagnetic waves vanishes in the absence of electromagnetic fields, emphasizing that the gravitational field in these solutions arises exclu- sively from electromagnetic effects. This class of solutions furnishes an example of how the properties of a dynamic spacetime are manifested in vacuum with a non-trivial electromagnetic field, a subject that has re- cently reappeared in the literature. We also indicate that these solutions provides a counterexample to an old conjecture by Louis Witten regarding the existence of eletrovacuum spaces with null Poincar e invariants.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Igor Mol - Coordenador / Igor Sbampato Mól Bessa - Integrante / Waldyr A. Rodrigues Jr. - Integrante.

• 2014 - 2015

  Iniciação Científica: "Revisiting the Schwarzschild Solution, the Kruskal-Szekeres Maximal Extension and the Kasner-Fronsdal Embedding", Descrição: In this pedagogical note, the differences between the Schwarzschild and the Hilbert-Droste solutions of Einstein equation are scrutinized through a rigorous mathematical approach, based on the idea of warped product of manifolds. It will be shown that those solutions are indeed different because the topologies of the manifolds corresponding to them are different. After establishing this fact beyond any doubt, the maximal extension of the Hilbert-Droste solution (the Kruskal-Szekeres spacetime) is derived with details and its topology compared with the ones of the Schwazschild and the Hilbert-Droste solution. We also study the problem of the imbedding of the Hilbert-Droste solution in a vector manifold, hopefully clarifying the work of Kasner and Fronsdal on the subject. In an Appendix, we present a rigorous discussion of the Einstein-Rosen Bridge. A comprehensive bibliography of the historical papers involved in our work is given at the end.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Igor Mol - Integrante / Igor Sbampato Mól Bessa - Integrante / Waldyr A. Rodrigues Jr. - Coordenador.