On the energy of homogeneous cosmologies

Details On the energy of homogeneous cosmologies On the energy of homogeneous cosmologies

2008-03-03

arxiv.org/abs/0803.0181v2

Phys.Rev.D78:044035,2008

Astronomy and Astrophysics

Astrophysics

11 pages, reformated with minor changes

Scientific paper

10.1103/PhysRevD.78.044035

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 9 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 3-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.

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