Gauge conditions in modern Kaluza-Klein theory.

Details Gauge conditions in modern Kaluza-Klein theory. Gauge conditions in modern Kaluza-Klein theory.

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jmp....39.2193s&link_type=abstract

Journal of Mathematical Physics, Vol. 39, No. 4, p. 2193 - 2200

Mathematics

Mathematical Physics

13

General Relativity: Kaluza-Klein Theory

Scientific paper

In the modern version of 5-D general relativity where the fifth dimension induces matter in 4-D space-time, a choice of coordinates and its restrictions on the geometry (a gauge) dictates the physics of the gravitational, electromagnetic, and scalar fields (spin 2, 1, 0). The authors extend previous work by concentrating on two related problems. First, they use the lapse and shift formalism to carry out a (4+1) split of Kaluza-Klein theory valid in any gauge. Second, they use a conformal gauge to simplify the 5-D field equations, find a plane-wave solution, and identify the energy and momentum of the particle associated with it.

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