Static cylindrically symmetric solution of the Kaluza-Klein equations

1990 ◽  
Vol 22 (1) ◽  
pp. 19-32 ◽  
Author(s):  
José A. Ferrari
Keyword(s):  
Symmetric Solution ◽  
Cylindrically Symmetric ◽  
Static Cylindrically Symmetric Solution ◽  
Kaluza Klein

Cylindrically Symmetric Solution in Teleparallel Theory

2010 ◽  
Vol 27 (10) ◽  
pp. 100401
Author(s):  
Gamal G. L Nashed
Keyword(s):  
Symmetric Solution ◽  
Cylindrically Symmetric ◽  
Teleparallel Theory

Inhomogeneous Kasner‐type cylindrically symmetric models in Kaluza–Klein space–time

1996 ◽  
Vol 37 (8) ◽  
pp. 4034-4040 ◽  
Author(s):  
L. K. Patel ◽  
Naresh Dadhich
Keyword(s):  
Space Time ◽  
Cylindrically Symmetric ◽  
Kaluza Klein

Singularity-free cylindrically symmetric solutions in Kaluza-Klein space-time

1995 ◽  
Vol 51 (12) ◽  
pp. 6816-6820 ◽  
Author(s):  
A. Banerjee ◽  
Ajanta Das ◽  
D. Panigrahi
Keyword(s):  
Space Time ◽  
Cylindrically Symmetric ◽  
Kaluza Klein

HARDY–SOBOLEV–MAZ'YA INEQUALITIES: SYMMETRY AND BREAKING SYMMETRY OF EXTREMAL FUNCTIONS

2009 ◽  
Vol 11 (06) ◽  
pp. 993-1007 ◽  
Author(s):  
MARITA GAZZINI ◽  
ROBERTA MUSINA
Keyword(s):  
Ground State ◽  
Symmetric Solution ◽  
Extremal Functions ◽  
Entire Solutions ◽  
Lagrange Equations ◽  
Degenerate Problem ◽  
Ground State Solutions ◽  
Cylindrically Symmetric ◽  
Breaking Symmetry

Denote points in ℝk × ℝN - k as pairs ξ = (x,y), and assume 2 ≤ k < N. In this paper, we study the problem [Formula: see text] where [Formula: see text] and [Formula: see text], the Hardy constant. Our results are the following: (i) Let [Formula: see text]. Then there exists at least an entire cylindrically symmetric solution. (ii) Let [Formula: see text] and λ ≥ 0. Then any solution v ∈ Lp(ℝN;|x|-bdξ) is cylindrically symmetric. (iii) Let [Formula: see text] and [Formula: see text]. Then ground state solutions are not cylindrically symmetric, and therefore there exist at least two distinct entire solutions. We prove also similar results for the degenerate problem [Formula: see text] namely, for the Euler–Lagrange equations of the Maz'ya inequality with cylindrical weights.

Spherically symmetric solution in the nonsymmetric Kaluza–Klein theory

1984 ◽  
Vol 25 (1) ◽  
pp. 117-130 ◽  
Author(s):  
M. W. Kalinowski ◽  
G. Kunstatter
Keyword(s):  
Symmetric Solution ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solution ◽  
Klein Theory ◽  
Kaluza Klein

A cylindrically symmetric solution approaching Einstein universe

2002 ◽  
Vol 19 (9) ◽  
pp. L81-L86 ◽  
Author(s):  
M D Iftime
Keyword(s):  
Symmetric Solution ◽  
Einstein Universe ◽  
Cylindrically Symmetric
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