Multigravity and Space Time Foam
摘要
We consider a multigravity approach to spacetime foam. As an application we give indications on the computation of the cosmological constant, considered as an eigenvalue of a Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a problem. We approximate the equation to one loop in a Schwarzschild background and a zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.
引用
@article{arxiv.gr-qc/0612039,
title = {Multigravity and Space Time Foam},
author = {Remo Garattini},
journal= {arXiv preprint arXiv:gr-qc/0612039},
year = {2008}
}
备注
6 pages. Talk given at IRGAC-2006 (Barcelona, July 11-15, 2006), accepted for publication in Journal of Physics A and extended version of the talk given at MG11, Berlin, 23-29 July, 2006