Abstract
An energy for the homogeneous cosmological models is presented. More specifically, using an appropriate natural prescription, we find the energy within any region with any gravitational source for a large class of gravity theories—namely, those with a tetrad description—for all nine Bianchi types. Our energy is given by the value of the Hamiltonian with homogeneous boundary conditions; this value vanishes for all regions in all Bianchi class A models, and it does not vanish for any class B model. This is so not only for Einstein’s general relativity but, moreover, for the whole three-parameter class of tetrad-teleparallel theories. For the physically favored one-parameter subclass, which includes the teleparallel equivalent of Einstein’s theory as an important special case, the energy for all class B models is, contrary to expectation, negative.
- Received 23 March 2008
DOI:https://doi.org/10.1103/PhysRevD.78.044035
©2008 American Physical Society