Exact solutions and the effective equation of state in Kaluza–Klein theory

1993 ◽  
Vol 34 (9) ◽  
pp. 4080-4092 ◽  
Author(s):  
J. Ponce de Leon ◽  
P. S. Wesson
Keyword(s):  
Equation Of State ◽  
Exact Solutions ◽  
Effective Equation ◽  
Klein Theory ◽  
Kaluza Klein

scholarly journals BOSONIC STRING — KALUZA–KLEIN THEORY EXACT SOLUTIONS USING 5D–6D DUALITIES

2001 ◽  
Vol 16 (01) ◽  
pp. 29-39 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR ◽  
OLEG V. KECHKIN
Keyword(s):  
String Theory ◽  
General Solution ◽  
Exact Solutions ◽  
Bosonic String ◽  
Extremal Solutions ◽  
Explicit Formulas ◽  
New Family ◽  
Klein Theory ◽  
Bosonic String Theory ◽  
Kaluza Klein

We present explicit formulas which allow one to transform a general solution of the 6D Kaluza–Klein theory compactified on a three-torus into a special solution of the 6D bosonic string theory compactified on a three-torus, as well as into the general solution of the 5D bosonic string theory compactified on a two-torus. We construct a new family of extremal solutions of the 3D chiral equation for the SL(4, R)/SO(4) coset matrix and interpret it in terms of the component fields of these three duality related theories.

On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories

1997 ◽  
Vol 12 (28) ◽  
pp. 2121-2132 ◽  
Author(s):  
Andrew Billyard ◽  
Alan Coley
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
The Other ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Formal Equivalence ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Dimensional Version ◽  
Kaluza Klein

Using the formal equivalences between Kaluza–Klein gravity, Brans–Dicke theory and general relativity coupled to a massless scalar field, exact solutions obtained in one theory will correspond to analogous solutions in the other two theories. Often exact solutions in one theory are "rediscovered" since theory are not recognized as analogs of the corresponding solutions in one of the other theories. We review here a number of exact solutions in each of the theories, with an emphasis on identifying and presenting the higher-dimensional version of the solutions. We also briefly comment upon the formal equivalence between Kaluza–Klein theory and scalar–tensor theories in general.

scholarly journals A Kaluza–Klein subtractor

2014 ◽  
Vol 29 (16) ◽  
pp. 1450079 ◽  
Author(s):  
Sanjib Jana ◽  
Chethan Krishnan
Keyword(s):  
Black Holes ◽  
Exact Solutions ◽  
Equations Of Motion ◽  
Specific Class ◽  
Attraction Basin ◽  
Rotating Black Holes ◽  
Klein Theory ◽  
Attraction Basins ◽  
Extremal Black Holes ◽  
Kaluza Klein

We generalize the results of arXiv:1212.1875 and arXiv:1212.6919 on attraction basins and their boundaries to the case of a specific class of rotating black holes, namely the ergo-free branch of extremal black holes in Kaluza–Klein theory. We find that exact solutions that span the attraction basin can be found even in the rotating case by appealing to certain symmetries of the equations of motion. They are characterized by two asymptotic parameters that generalize those of the non-rotating case, and the boundaries of the basin are spinning versions of the (generalized) subtractor geometry. We also give examples to illustrate that the shape of the attraction basin can drastically change depending on the theory.

CONSEQUENCES OF COVARIANCE IN KALUZA–KLEIN THEORY

1995 ◽  
Vol 10 (01) ◽  
pp. 15-24 ◽  
Author(s):  
PAUL S. WESSON
Keyword(s):  
Exact Solutions ◽  
Einstein Equations ◽  
Coordinate Transformations ◽  
Mathematical Condition ◽  
Klein Theory ◽  
Kaluza Klein

When the (3+1) Einstein equations with matter are regarded as a subset of the (4+1) Kaluza–Klein equations in apparent vacuum, the recovery of appropriate properties of matter requires in general that the (4+1) metric depend on all the coordinates including the extra one. We display some consequences of (4+1) covariance through the use of exact solutions and coordinate transformations. We conclude that 4-D physics can be regarded as taking place on a hypersurface in 5-D, a mathematical condition which may be set by a physical one on the rest masses of particles.

PARTICLE MASSES IN KALUZA–KLEIN–GORDON THEORY AND THE REALITY OF EXTRA DIMENSIONS

1998 ◽  
Vol 13 (33) ◽  
pp. 2689-2694 ◽  
Author(s):  
HONGYA LIU ◽  
PAUL S. WESSON
Keyword(s):  
Wave Function ◽  
Exact Solutions ◽  
Extra Dimension ◽  
Extra Dimensions ◽  
Gordon Equation ◽  
Superstring Theory ◽  
Klein Theory ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Kaluza Klein

To see how the effective 4-D mass of a particle is affected by the geometry of an ND space, we take the Klein–Gordon equation in 5-D and evaluate it in 4-D using two exact solutions of 5-D Kaluza–Klein theory. The mass (squared) turns out to be complex if the theory is independent of the extra coordinate, but can be made real if the wave function depends on an extra dimension which is physical. These results have significant implications for 10-D superstring theory.

Supersymmetry: Kaluza-Klein theory, anomalies, and superstrings

1985 ◽  
Vol 146 (8) ◽  
pp. 655 ◽  
Author(s):  
I.Ya. Aref'eva ◽  
I.V. Volovich
Keyword(s):  
Klein Theory ◽  
Kaluza Klein

Euler-Poincaré lagrangians and Kaluza-Klein theory

1987 ◽  
Vol 189 (1-2) ◽  
pp. 96-98 ◽  
Author(s):  
M. Arik ◽  
T. Dereli
Keyword(s):  
Klein Theory ◽  
Kaluza Klein
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