Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-08
Phys.Rev.D63:041502,2001
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 1 figure; New section added with discussion of solution to the cosmological horizon problem using superluminal disper
Scientific paper
10.1103/PhysRevD.63.041502
Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. We show that a superluminal dispersion relation can solve the horizon problem via superluminal equilibration, however it cannot do so while remaining outside the Planck regime unless the dispersion relation is artificially chosen to have a rather steep dependence on wavevector.
Jacobson Ted
Mattingly David
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