3 papers
math.DG2025
Remarks on potential functions of noncompact quasi-Einstein manifolds
Jaciane Gonçalves
In this article, we study the set of potential functions on noncompact quasi-Einstein manifolds. We show that the space of all positive potential functions on a three-dimensional n…
math.DG2025
Geometric inequalities for quasi-Einstein manifolds
Rafael Diógenes, Jaciane Gonçalves, Ernani Ribeiro
In this article, we investigate certain geometric inequalities on quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary…
gr-qc2024
On causality and its violation in $f(R,\lm,T)$ gravity
J. S. Gonçalves, A. F. Santos
In this paper, $f(R,\lm, T)$ gravity is considered. It is a generalization of the theories and $f(R, \lm)$. This modified theory of gravity exhibits strong geometry-matter…