Spherically symmetric line element and Killing vectors in five-dimensional space

1995 ◽  
Vol 102 (3) ◽  
pp. 251-256 ◽  
Author(s):  
G. Rcheulishvili
Keyword(s):  
Line Element ◽  
Dimensional Space ◽  
Spherically Symmetric ◽  
Killing Vectors ◽  
Symmetric Line

scholarly journals TRAVERSABLE WORMHOLES IN A STRING CLOUD

2008 ◽  
Vol 17 (08) ◽  
pp. 1179-1196 ◽  
Author(s):  
MARTÍN G. RICHARTE ◽  
CLAUDIO SIMEONE
Keyword(s):  
Thin Shell ◽  
Dimensional Space ◽  
Space Time ◽  
Exotic Matter ◽  
Spherically Symmetric ◽  
Related Model ◽  
Traversable Wormholes ◽  
Dimensional Space Time ◽  
Thin Shell Wormholes ◽  
The Stability

We study spherically symmetric thin shell wormholes in a string cloud background in (3 + 1)-dimensional space–time. The amount of exotic matter required for the construction, the traversability and the stability of such wormholes under radial perturbations are analyzed as functions of the parameters of the model. In addition, in the appendices a nonperturbative approach to the dynamics and a possible extension of the analysis to a related model are briefly discussed.

Killing vectors of static spherically symmetric metrics

1990 ◽  
Vol 31 (6) ◽  
pp. 1463-1463 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Asghar Qadir
Keyword(s):  
Spherically Symmetric ◽  
Killing Vectors ◽  
Symmetric Metrics

scholarly journals Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Ehab Malkawi ◽  
D. Baleanu
Keyword(s):  
Fractional Calculus ◽  
Exact Solutions ◽  
Caputo Derivative ◽  
Dimensional Space ◽  
Two Dimensional ◽  
Curved Space ◽  
Killing Vectors ◽  
Constant Of Motion ◽  
Christoffel Symbols

The classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.

scholarly journals AN EXACT SELF-SIMILAR SOLUTION FOR AN EXPANDING BALL OF RADIATION

2006 ◽  
Vol 15 (03) ◽  
pp. 395-404 ◽  
Author(s):  
J. PONCE DE LEON ◽  
P. S. WESSON
Keyword(s):  
Line Element ◽  
Killing Vector ◽  
Einstein Equations ◽  
Effective Density ◽  
Spherically Symmetric ◽  
Self Similar Solution ◽  
Thermodynamic Conditions ◽  
Simple Scaling ◽  
Self Similar ◽  
Boltzmann Law

We give an exact solution of the 5D Einstein equations which in 4D can be interpreted as a spherically symmetric dissipative distribution of matter, with heat flux, whose effective density and pressure are nonstatic, nonuniform, and satisfy the equation of state of radiation. The matter satisfies the usual energy and thermodynamic conditions. The energy density and temperature are related by the Stefan–Boltzmann law. The solution admits a homothetic Killing vector in 5D, which induces the existence of self-similar symmetry in 4D, where the line element as well as the dimensionless matter quantities are invariant under a simple "scaling" group.

scholarly journals Closedness of orbits in a space with SU(2) Poisson structure

2014 ◽  
Vol 29 (17) ◽  
pp. 1450081 ◽  
Author(s):  
Amir H. Fatollahi ◽  
Ahmad Shariati ◽  
Mohammad Khorrami
Keyword(s):  
Angular Momentum ◽  
Poisson Structure ◽  
Kepler Problem ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Spherically Symmetric ◽  
Symmetric Potential ◽  
Ordinary Space ◽  
Three Dimensional Space ◽  
Central Forces

The closedness of orbits of central forces is addressed in a three-dimensional space in which the Poisson bracket among the coordinates is that of the SU(2) Lie algebra. In particular it is shown that among problems with spherically symmetric potential energies, it is only the Kepler problem for which all bounded orbits are closed. In analogy with the case of the ordinary space, a conserved vector (apart from the angular momentum) is explicitly constructed, which is responsible for the orbits being closed. This is the analog of the Laplace–Runge–Lenz vector. The algebra of the constants of the motion is also worked out.

NATURE OF THE SINGULARITIES IN HIGHER-DIMENSIONAL HUSAIN SPACE–TIME

2006 ◽  
Vol 15 (09) ◽  
pp. 1359-1371 ◽  
Author(s):  
K. D. PATIL ◽  
S. S. ZADE
Keyword(s):  
Gravitational Collapse ◽  
Dimensional Space ◽  
Higher Dimensions ◽  
Cosmic Censorship ◽  
Space Time ◽  
Spherically Symmetric ◽  
Naked Singularities ◽  
Higher Dimensional ◽  
Dimensional Space Time ◽  
Cosmic Censorship Hypothesis

We generalize the earlier studies on the spherically symmetric gravitational collapse in four-dimensional space–time to higher dimensions. It is found that the central singularities may be naked in higher dimensions but depend sensitively on the choices of the parameters. These naked singularities are found to be gravitationally strong that violate the cosmic censorship hypothesis.

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