We review some results concerning the convexity of the boundary of a standard domain M = D × R contained in a standard stationary spacetime L = S × R showing that this notion can be characterized by means of Riemannian conditions involving a potential and a one-form on S, both linked to the coefficients of the metric. A natural application, obtained by variational methods, is the ex- istence of stationary geodesics in M connecting a point to a stationary line and having fixed Lorentzian length.
Infinitesimal convexity in stationary spacetimes
GERMINARIO, Anna
2012-01-01
Abstract
We review some results concerning the convexity of the boundary of a standard domain M = D × R contained in a standard stationary spacetime L = S × R showing that this notion can be characterized by means of Riemannian conditions involving a potential and a one-form on S, both linked to the coefficients of the metric. A natural application, obtained by variational methods, is the ex- istence of stationary geodesics in M connecting a point to a stationary line and having fixed Lorentzian length.File in questo prodotto:
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