Journal ArticleDOI
Hamiltonian formulation for Kaluza-Klein spaces asymptotic to the KKM solution
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In this article, the phase space in the Kaluza-Klein theory with asymptotic behavior inspired from that of the KK monopole solution is described. But this is done by exhibiting the explicit parity conditions that the metrics and momenta must satisfy.Abstract:
The author gives a complete description of the phase space in the Kaluza-Klein theory with asymptotic behaviour inspired from that of the Kaluza-Klein monopole solution. This is done by exhibiting the explicit asymptotic and parity conditions that the metrics and momenta must satisfy. This allows one to give the definitions of the Hamiltonian, the linear and angular momenta, the generators of asymptotic boosts and the electrical charge.read more
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Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity
J. D. Brown,Marc Henneaux +1 more
TL;DR: In this article, it was shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level.
Journal ArticleDOI
Role of surface integrals in the Hamiltonian formulation of general relativity
T. Regge,Claudio Teitelboim +1 more
TL;DR: In this article, it is shown that if the phase space of general relativity is defined so as to contain the trajectories representing solutions of the equations of motion then, for asymptotically flat spaces, the Hamiltonian does not vanish but its value is given rather by a nonzero surface integral.
Journal ArticleDOI
Magnetic monopoles in Kaluza-Klein theories
David J. Gross,Malcolm J. Perry +1 more
TL;DR: In this paper, it was shown that the five-dimensional Kaluza-Klein theory admits soliton solutions, which are regular, static and stable solutions of the field equations which correspond, upon quantization, to particles.
Journal ArticleDOI
Kaluza-Klein Monopole
TL;DR: By adding the trivial term $\ensuremath{-}d{t}^{2}$ one can convert the four-dimensional (positive-definite) Newman-Unti-Tamburino line element into a static solution of the five-dimensional vacuum Einstein equations.
Journal ArticleDOI
On energy in 5-dimensional gravity and the mass of the Kaluza-Klein monopole
TL;DR: In this article, the concept of energy in higher-dimensional gravity was discussed, with special attention given to the problem of the choice of a background, and three different approaches to the calculation of energy for solutions of the 5-dimensional Einstein equation were considered.
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