We deal with the convexity of the boundary of a standard stationary spacetime L = M × 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.

Convexity conditions on the boundary of a stationary spacetime and applications

GERMINARIO, Anna
2009

Abstract

We deal with the convexity of the boundary of a standard stationary spacetime L = M × 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/15983
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