
arXiv: 1311.1747
handle: 10446/31427
We compute the Zero Point Energy (ZPE) induced by a naked singularity with the help of a reformulation of the Wheeler-DeWitt equation. A variational approach is used for the calculation with Gaussian Trial Wave Functionals. The one loop contribution of the graviton to the ZPE is extracted keeping under control the UltraViolet divergences by means of a distorted gravitational field. Two examples of distortion are taken under consideration: Gravity's Rainbow and Noncommutative Geometry. Surprisingly we find that the ZPE is no more singular when we approach the singularity.
Update to match published version. References added. Minor revision. LaTeX 13 Pages. arXiv admin note: text overlap with arXiv:1210.7760
High Energy Physics - Theory, Nuclear and High Energy Physics, Black holes, Wheeler-DeWitt equation, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Cosmological constant; negative mass; general-relativity; black-hole; Eigenvalue; stability; rainbow; entropy;, Variational principles of physics, Quantization of the gravitational field, Space-time singularities, cosmic censorship, etc.
High Energy Physics - Theory, Nuclear and High Energy Physics, Black holes, Wheeler-DeWitt equation, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Cosmological constant; negative mass; general-relativity; black-hole; Eigenvalue; stability; rainbow; entropy;, Variational principles of physics, Quantization of the gravitational field, Space-time singularities, cosmic censorship, etc.
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