scholarly journals Notes on spinoptics in a stationary spacetime

2012 ◽  
Vol 86 (8) ◽  
Author(s):  
Chul-Moon Yoo
Keyword(s):  
Stationary Spacetime

scholarly journals Stationary Spacetime from Intersecting M-branes

2006 ◽  
Vol 33 ◽  
pp. 393-398
Author(s):  
Makoto Tanabe ◽  
Kei-ichi Maeda
Keyword(s):  
Stationary Spacetime

Stationary spacetime from intersecting M-branes

2007 ◽  
Vol 40 (25) ◽  
pp. 7025-7030
Author(s):  
Makoto Tanabe ◽  
Kei-ichi Maeda
Keyword(s):  
Stationary Spacetime

scholarly journals Spinoptics in a stationary spacetime

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Valeri P. Frolov ◽  
Andrey A. Shoom
Keyword(s):  
Stationary Spacetime

PHOTON AND TRANSVERSELY TRAPPING SURFACES IN STATIONARY SPACETIME

2018 ◽  
Vol 4 ◽  
pp. 48-56
Author(s):  
D.V. Gal'tsov ◽  
◽  
К. V. Kobialko ◽  
Keyword(s):  
Stationary Spacetime

scholarly journals Normal Geodesics Connecting two Non-necessarily Spacelike Submanifolds in a Stationary Spacetime

2010 ◽  
Vol 10 (4) ◽  
Author(s):  
R. Bartolo ◽  
A.M. Candela ◽  
E. Caponio
Keyword(s):  
Existence Theorem ◽  
Causal Structure ◽  
Finsler Metrics ◽  
Globally Hyperbolic ◽  
Basic Properties ◽  
Stationary Spacetime ◽  
Spacelike Submanifolds

AbstractIn this paper we obtain an existence theorem for normal geodesics joining two given submanifolds in a globally hyperbolic stationary spacetime ℳ. The proof is based on both variational and geometric arguments involving the causal structure of ℳ, the completeness of suitable Finsler metrics associated to it and some basic properties of a submersion. By this interaction, unlike previous results on the topic, also non-spacelike submanifolds can be handled.

CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS

2009 ◽  
Vol 11 (05) ◽  
pp. 739-769 ◽  
Author(s):  
ROSSELLA BARTOLO ◽  
ANNA GERMINARIO
Keyword(s):  
Magnetic Field ◽  
Arc Length ◽  
Kerr Spacetime ◽  
Stationary Spacetime ◽  
Complete Manifolds ◽  
Convexity Conditions

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.

scholarly journals Reciprocal NUT spacetimes

2015 ◽  
Vol 12 (09) ◽  
pp. 1550083
Author(s):  
Davood Momeni ◽  
Surajit Chattopadhyay ◽  
Ratbay Myrzakulov
Keyword(s):  
Vacuum Solution ◽  
Static Solution ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Disk Model ◽  
Static Vacuum ◽  
Stationary Spacetime ◽  
Time Space ◽  
Spherically Symmetric Solution ◽  
Stationary Spacetimes

In this paper, we study the Ehlers' transformation (sometimes called gravitational duality rotation) for reciprocal static metrics. First, we introduce the concept of reciprocal metric. We prove a theorem which shows how we can construct a certain new static solution of Einstein field equations using a seed metric. Later, we investigate the family of stationary spacetimes of such reciprocal metrics. The key here is a theorem from Ehlers', which relates any static vacuum solution to a unique stationary metric. The stationary metric has a magnetic charge. The spacetime represents Newman-Unti-Tamburino (NUT) solutions. Since any stationary spacetime can be decomposed into a 1 + 3 time-space decomposition, Einstein field equations for any stationary spacetime can be written in the form of Maxwell's equations for gravitoelectromagnetic fields. Further, we show that this set of equations is invariant under reciprocal transformations. An additional point is that the NUT charge changes the sign. As an instructive example, by starting from the reciprocal Schwarzschild as a spherically symmetric solution and reciprocal Morgan–Morgan disk model as seed metrics we find their corresponding stationary spacetimes. Starting from any static seed metric, performing the reciprocal transformation and by applying an additional Ehlers' transformation we obtain a family of NUT spaces with negative NUT factor (reciprocal NUT factors).

Stationary spacetime from intersecting M-branes

2006 ◽  
Vol 738 (1-2) ◽  
pp. 184-218 ◽  
Author(s):  
Kei-ichi Maeda ◽  
Makoto Tanabe
Keyword(s):  
Stationary Spacetime

scholarly journals Time-dependent scalar fields in modified gravities in a stationary spacetime

2016 ◽  
Vol 76 (7) ◽  
Author(s):  
Yi Zhong ◽  
Bao-Ming Gu ◽  
Shao-Wen Wei ◽  
Yu-Xiao Liu
Keyword(s):  
Scalar Fields ◽  
Time Dependent ◽  
Stationary Spacetime
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