56 citations · 63 across the 7 of their papers we have counts for
7 papers
The boundary of Gödel's spacetime and the chronology protection conjecture
P. Pitanga
We present a homogenous anisotropic conformal spacetime manifold that provide an example of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solu…
Gödel's universe and the chronology protection conjecture
P. Pitanga
We present a solution for the geodesic motion in Gödel's universe that provides a particular proof of Hawking's chronology protection conjecture in three-dimensional gravity theory…
Projection Methods for some Constrained Systems
Paulo Pitanga, Paulo R. Rodrigues
This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribu…
Non-Holonomic Connections Following Élie Cartan
Jair Koiller, Paulo R. Rodrigues, Paulo Pitanga
In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as t…
The Heavy Dirac Monopole
P. Pitanga
We present a model for the Dirac magnetic monopole, suitable for the strong coupling regime. The magnetic monopole is static, has charge g and mass M, occupying a volume of radius…
Time of arrival in the presence of interactions
J. Leon, J. Julve, P. Pitanga +1
We introduce a formalism for the calculation of the time of arrival t at a space point for particles traveling through interacting media. We develop a general formulation that empl…