scholarly journals Light rings of stationary spacetimes

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Rajes Ghosh ◽  
Sudipta Sarkar
Keyword(s):  
Stationary Spacetimes

scholarly journals Fermat Metrics

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1422
Author(s):  
Antonio Masiello
Keyword(s):  
Variational Methods ◽  
Morse Theory ◽  
Sagnac Effect ◽  
Variational Theory ◽  
Global Hyperbolicity ◽  
Fermat Principle ◽  
Multiple Image ◽  
Light Rays ◽  
Stationary Spacetimes

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.

scholarly journals Separable geodesic action slicing in stationary spacetimes

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

scholarly journals A unique Fock quantization for fields in non-stationary spacetimes

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

Noncircular axisymmetric stationary spacetimes

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

The Causal Boundary Of Standard Stationary Spacetimes

2009 ◽  
Author(s):  
José L. Flores ◽  
Kerstin E. Kunze ◽  
Marc Mars ◽  
Miguel Angel Vázquez-Mozo
Keyword(s):  
Causal Boundary ◽  
Stationary Spacetimes

Addendum to: Genericity of Nondegeneracy for Light Rays in Stationary Spacetimes

2009 ◽  
Vol 295 (1) ◽  
pp. 289-291 ◽  
Author(s):  
Roberto Giambò ◽  
Miguel Angel Javaloyes
Keyword(s):  
Light Rays ◽  
Stationary Spacetimes

scholarly journals INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS

2003 ◽  
Vol 46 (2) ◽  
pp. 465-488 ◽  
Author(s):  
Luis J. Alías ◽  
Aldir Brasil ◽  
A. Gervasio Colares
Keyword(s):  
Primary 53C42 ◽  
Subject Classification ◽  
Secondary 53B30 ◽  
Lorentzian Manifolds ◽  
Conformal Field ◽  
Uniqueness Results ◽  
Spacelike Hypersurfaces ◽  
Stationary Spacetimes ◽  
Integral Formulae

AbstractIn this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immersed into conformally stationary spacetimes, that is, Lorentzian manifolds admitting a timelike conformal field. We apply them to the study of the umbilicity of compact spacelike hypersurfaces in terms of their $r$-mean curvatures. We derive several uniqueness results, for instance, compact spacelike hypersurfaces are umbilical if either some of their $r$-mean curvatures are linearly related or one of them is constant.AMS 2000 Mathematics subject classification: Primary 53C42. Secondary 53B30; 53C50; 53Z05; 83C99

Sign in / Sign up

Export Citation Format

Share Document