The Causal Boundary Of Standard Stationary Spacetimes

Author(s):  
José L. Flores ◽  
Kerstin E. Kunze ◽  
Marc Mars ◽  
Miguel Angel Vázquez-Mozo
Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1422
Author(s):  
Antonio Masiello

In this paper we present a survey of Fermat metrics and their applications to stationary spacetimes. A Fermat principle for light rays is stated in this class of spacetimes and we present a variational theory for the light rays and a description of the multiple image effect. Some results on variational methods, as Ljusternik-Schnirelmann and Morse Theory are recalled, to give a description of the variational methods used. Other applications of the Fermat metrics concern the global hyperbolicity and the geodesic connectedeness and a characterization of the Sagnac effect in a stationary spacetime. Finally some possible applications to other class of spacetimes are considered.


2011 ◽  
Vol 44 (3) ◽  
pp. 603-621 ◽  
Author(s):  
Donato Bini ◽  
Andrea Geralico ◽  
Robert T. Jantzen

1988 ◽  
Vol 5 (1) ◽  
pp. 121-134 ◽  
Author(s):  
L B Szabados
Keyword(s):  

2010 ◽  
Vol 2010 (10) ◽  
pp. 030-030 ◽  
Author(s):  
Jerónimo Cortez ◽  
Guillermo A. Mena Marugán ◽  
Javier Olmedo ◽  
José M Velhinho

1993 ◽  
Vol 48 (6) ◽  
pp. 2635-2652 ◽  
Author(s):  
Eric Gourgoulhon ◽  
Silvano Bonazzola

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