Induced Quantum Fluctuations in the Spherically Symmetric Space–Time

1997 ◽  
Vol 12 (18) ◽  
pp. 3171-3180 ◽  
Author(s):  
Kamal K. Nandi ◽  
Anwarul Islam ◽  
James Evans
Keyword(s):  
Symmetric Space ◽  
Light Cone ◽  
Quantum Fluctuation ◽  
Quantum Fluctuations ◽  
Dynamical Variable ◽  
Nonrelativistic Limit ◽  
Space Time ◽  
Spherically Symmetric ◽  
Speed Of Light

In the Schwarzschild field due to a mass moving with velocity v → c0, where c0 is the speed of light in vacuum, the source-induced quantum fluctuation in the light cone exhibits consistency with the Aichelburg–Sexl solution while that in the metric dynamical variable does not. At the horizon, none of the fluctuations is proportional to anything finite. However, in the nonrelativistic limit (v → 0), known expressions follow.

String cosmology in spherically symmetric space‐time

1992 ◽  
Vol 33 (6) ◽  
pp. 2336-2338 ◽  
Author(s):  
Subenoy Chakraborty ◽  
Ashok Kr. Chakraborty
Keyword(s):  
Symmetric Space ◽  
Space Time ◽  
String Cosmology ◽  
Spherically Symmetric

Proper projective symmetry in the most general non-static spherically symmetric four-dimensional Lorentzian manifolds

2016 ◽  
Vol 13 (02) ◽  
pp. 1650009 ◽  
Author(s):  
Ghulam Shabbir ◽  
F. M. Mahomed ◽  
M. A. Qureshi
Keyword(s):  
Symmetric Space ◽  
Special Class ◽  
Space Time ◽  
Spherically Symmetric ◽  
Direct Integration ◽  
Lorentzian Manifolds

A study of proper projective symmetry in the most general form of non-static spherically symmetric space-time is given using direct integration and algebraic techniques. In this study, we show that when the above space-time admits proper projective symmetry it becomes a very special class of static spherically symmetric space-times.

scholarly journals TOPOLOGICAL AND GEOMETRICAL PROPRIETIES OF BRANE-WORLDS

2011 ◽  
Vol 08 (05) ◽  
pp. 945-951
Author(s):  
EDMUNDO M. MONTE
Keyword(s):  
Symmetric Space ◽  
Isometric Immersion ◽  
Space Time ◽  
Brane World ◽  
Point Of View ◽  
Spherically Symmetric ◽  
Euclidean Spaces ◽  
Brane Worlds ◽  
Local Isometric Immersion

Through the characterization of a spherically symmetric space-time as a local brane-world immersed into six-dimensional pseudo-Euclidean spaces, with different signatures of the bulk, we investigate the existence of a topological difference in the immersed brane-world. In particular the Schwarzschild's brane-world and its Kruskal (or Frønsdal) brane-world extension are examined from point of view of the immersion formalism. We prove that there is a change of signature of the bulk when we consider a local isometric immersion and different topologies of a brane-world in that bulk.

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