Gravitational-wave propagation in the five-dimensional Kaluza-Klein space-time

1994 ◽  
Vol 109 (6) ◽  
pp. 659-673 ◽  
Author(s):  
O. Abe
Keyword(s):  
Wave Propagation ◽  
Gravitational Wave ◽  
Space Time ◽  
Kaluza Klein

scholarly journals Can a Gravitational Wave and a Magnetic Monopole Coexist?

1997 ◽  
Vol 12 (39) ◽  
pp. 3009-3015
Author(s):  
Osamu Abe ◽  
Osamu Tabata
Keyword(s):  
Gravitational Wave ◽  
Magnetic Monopole ◽  
Dimensional Space ◽  
Space Time ◽  
Small Perturbations ◽  
Dimensional Space Time ◽  
Kaluza Klein

We investigate the behavior of small perturbations around the Kaluza–Klein monopole in the five-dimensional space–time. We find that the even parity gravitational wave does not propagate in the five-dimensional space–time with Kaluza–Klein monopole provided that the gravitational wave is constant in the fifth direction. We conclude that a gravitational wave and a U(1) magnetic monopole do not coexist in five-dimensional Kaluza–Klein space–time.

scholarly journals ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Dimensional Space ◽  
Space Time ◽  
Two Dimensional ◽  
Bonnet Gravity ◽  
Space Of Constant Curvature ◽  
Dimensional Black Hole ◽  
Dimensional Space Time ◽  
Kaluza Klein

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

Non-reciprocal Rayleigh wave propagation in space–time modulated surface

2021 ◽  
Vol 146 ◽  
pp. 104196 ◽  
Author(s):  
Qian Wu ◽  
Hui Chen ◽  
Hussein Nassar ◽  
Guoliang Huang
Keyword(s):  
Wave Propagation ◽  
Rayleigh Wave ◽  
Space Time

scholarly journals SPIN GAUGE THEORY OF GRAVITY IN CLIFFORD SPACE: A REALIZATION OF KALUZA–KLEIN THEORY IN FOUR-DIMENSIONAL SPACE–TIME

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5905-5956 ◽  
Author(s):  
MATEJ PAVŠIČ
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Dirac Field ◽  
Spin Connection ◽  
Yang Mills ◽  
Object A ◽  
Klein Theory ◽  
Dimensional Space Time ◽  
The Right ◽  
Kaluza Klein

A theory in which four-dimensional space–time is generalized to a larger space, namely a 16-dimensional Clifford space (C-space) is investigated. Curved Clifford space can provide a realization of Kaluza–Klein. A covariant Dirac equation in curved C-space is explored. The generalized Dirac field is assumed to be a polyvector-valued object (a Clifford number) which can be written as a superposition of four independent spinors, each spanning a different left ideal of Clifford algebra. The general transformations of a polyvector can act from the left and/or from the right, and form a large gauge group which may contain the group U (1) × SU (2) × SU (3) of the standard model. The generalized spin connection in C-space has the properties of Yang–Mills gauge fields. It contains the ordinary spin connection related to gravity (with torsion), and extra parts describing additional interactions, including those described by the antisymmetric Kalb–Ramond fields.

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