2008/12/21 by Remo Garattini, Garattini, Remo · 3 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Computer science #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Physics #Programming language #Relativity and Gravitational Theory #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.0812.4037
published in arXiv (Cornell University) (Cornell University)
arxiv created 2008/12/21 · openalex publication_date 2008/12/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The cosmological constant induced by quantum fluctuation of the graviton on a given background is considered as a tool for building a spectrum of different geometries. In particular, we apply the method to the Schwarzschild background with positive and negative mass parameter. In this way, we put on the same level of comparison the related naked singularity (-M) and the positive mass wormhole. We use the Wheeler-De Witt equation as a basic equation to perform such an analysis regarded as a Sturm-Liouville problem . The cosmological constant is considered as the associated eigenvalue. The used method to study such a problem is a variational approach with Gaussian trial wave functionals. We approximate the equation to one loop in a Schwarzschild background. 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.