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.

Convexity conditions on the boundary of a stationary spacetime and applications / Bartolo, R; Germinario, A V. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 11:5(2009), pp. 739-769. [10.1142/S0219199709003545]

Convexity conditions on the boundary of a stationary spacetime and applications

Bartolo R;
2009-01-01

Abstract

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.
2009
Convexity conditions on the boundary of a stationary spacetime and applications / Bartolo, R; Germinario, A V. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 11:5(2009), pp. 739-769. [10.1142/S0219199709003545]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5216
Citazioni
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 2
social impact