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Naked singularities are not singular in distorted gravity

Authors: GARATTINI, Remo; MAJUMDER, BARUN;

Naked singularities are not singular in distorted gravity

Abstract

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

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Top 10%
Green
gold