Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-10-25
Gen.Rel.Grav.42:2765-2783,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, no figures, 5 tables. Version 2 substantially extended to cover nonzero spatial curvature, and with simplified deriv
Scientific paper
10.1007/s10714-010-1014-4
We study a conjecture involving the invariant volume of the past light-cone from an arbitrary observation point back to a fixed initial value surface. The conjecture is that a 4th order differential operator which occurs in the theory of conformal anomalies gives $8\pi$ when acted upon the invariant volume of the past light-cone. We show that an extended version of the conjecture is valid for an arbitrary homogeneous and isotropic geometry. First order perturbation theory about flat spacetime reveals a violation of the conjecture which, however, vanishes for any vacuum solution of the Einstein equation. These results may be significant for constructing quantum gravitational observables, for quantifying the back-reaction on spacetime expansion and for alternate gravity models which feature a timelike vector field.
Park Sohyun
Woodard Richard P.
No associations
LandOfFree
The Volume of the Past Light-Cone and the Paneitz Operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Volume of the Past Light-Cone and the Paneitz Operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Volume of the Past Light-Cone and the Paneitz Operator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-450893