Negative energy and unusual compactification in M4×TD Kaluza-Klein theory

Details Negative energy and unusual compactification in M4×TD Kaluza-Klein theory Negative energy and unusual compactification in M4×TD Kaluza-Klein theory

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..58l4004p&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 58, Issue 12, 15 December 1998, id. 124004

Physics

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

It is shown that there exists a bubble-type negative energy solution in M4×TD Kaluza-Klein theory which indicates unusual compactification near the bubble. This solution shares the same topology with the Brill-Horowitz solution but has a different geometry on the compactified dimensions, and it reduces to the Brill-Horowitz solution in a certain limit. However, since the unusual compactification happens in a very microscopic region of ordinary three-dimensional space the quantum theoretical consideration would be required in the last analysis. It is also briefly argued that any bubble-type solution of M4×TD Kaluza-Klein theory can have negative energy in general. Indeed, the energy of the above compactification can be arbitrarily negative.

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