Naked Singularities are not Singular in Distorted Gravity
arXiv:1311.1747 · doi:10.1016/j.nuclphysb.2014.04.014
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
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- Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
- Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
- F(R) gravity's rainbow and its Einstein counterpart
- Gravitational Collapse in Gravity's Rainbow
- Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
- Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
- Rainbow's Stars
- Dark Energy Star in Gravity's Rainbow
- Accelerating AdS black holes in gravity's rainbow
- Non-singular Brans-Dicke collapse in deformed phase space
- Gravity's Rainbow and Black Hole Entropy
- Discreteness of time in the evolution of the universe
- Rainbow's Gravity Corrections to the Black Hole Global Casimir Effect
- Traversable Wormholes in Distorted Gravity