We deal with the convexity of the boundary of a standard stationary spacetime L = M x R. We obtain a characterization of this notion by means of Riemannian conditions involving a potential plus a magnetic field on M, where both are linked to the coefficients of the metric. Natural applications of our results concern geodesics having a prescribed parametrization proportional to the arc length, joining a point to a line and periodic, on non-complete manifolds, and in particular on Kerr spacetime.
|Autori interni:||BARTOLO, Rossella|
|Titolo:||CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS|
|Rivista:||COMMUNICATIONS IN CONTEMPORARY MATHEMATICS|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1142/S0219199709003545|
|Appare nelle tipologie:||1.1 Articolo in rivista|