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9 papers · 2 filters
Representing the Vacuum Polarization on de Sitter
Katie E. Leonard, T. Prokopec, R. P. Woodard
Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is a…
The Geometry of Massless Cosmic Strings
Maarten van de Meent
We study the geometry generated by a massless cosmic string. We find that this is given by a Riemann flat spacetime with a conical singularity along the worldsheet of the string. T…
Covariant Vacuum Polarizations on de Sitter Background
Katie E. Leonard, T. Prokopec, R. P. Woodard
We derive covariant expressions for the one loop vacuum polarization induced by a charged scalar on de Sitter background. Two forms are employed: one in which two covariant derivat…
Three-dimensional spacetimes of maximal order
Robert Milson, Lode Wylleman
We show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is…
2+1 gravity on the conformal sphere
Sean Gryb, Flavio Mercati
We show that there are 2 equivalent first order descriptions of 2+1 gravity with non-zero cosmological constant. One is the well-known spacetime description and the other is in ter…
Uniqueness of the gauge invariant action for cosmological perturbations
Tomislav Prokopec, Jan Weenink
In second order perturbation theory different definitions are known of gauge invariant perturbations in single field inflationary models. Consequently the corresponding gauge invar…