Physics
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..60j4038s&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 60, Issue 10, 15 November 1999, id. 104038
Physics
8
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity
Scientific paper
The energy of 5D Kaluza-Klein gravity is studied for two types of spacetimes. The first set does not have any extra-coordinate dependence and we make use of a conformal transformation to make contact with minimally and non-minimally coupled theories of gravity, as well as Brans-Dicke theory. The energy for these theories is derived from the action as well as from conserved quantities associated with Killing vectors for scalar-tensor theories. The second class of metrics have the extra-coordinate dependence concentrated in a conformal factor on the 4D part of the 5D metric and the energy associated with these spacetimes is shown to be equivalent to the Abbott-Deser energy for asymptotically de Sitter spacetimes. We make contact with previous definitions of energy considered in the literature and we explicitly calculate the energy and angular momentum of some stationary solutions in Kaluza-Klein and Brans-Dicke gravity.
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