Quantum fate of timelike naked singularity with scalar hair

@article{49348,
   author = {Svitek, O. and Tahamtan, Tayebeh and Zampeli, Adamantia},
   article_number = {July},
   doi = {http://dx.doi.org/10.1016/j.aop.2020.168195},
   keywords = {Exact solution; Singularity; Scalar field; Quantum gravity; Dirac equation; Klein-Gordon equation},
   language = {eng},
   issn = {0003-4916},
   journal = {ANNALS OF PHYSICS},
   title = {Quantum fate of timelike naked singularity with scalar hair},
   url = {https://www.sciencedirect.com/science/article/abs/pii/S0003491620301287?via%3Dihub},
   volume = {418},
   year = {2020}
}

TY  - JOUR
ID  - 49348
AU  - Svitek, O. - Tahamtan, Tayebeh - Zampeli, Adamantia
PY  - 2020
TI  - Quantum fate of timelike naked singularity with scalar hair
JF  - ANNALS OF PHYSICS
VL  - 418
IS  - July
SP  - "168195-1"-"168195-18"
EP  - "168195-1"-"168195-18"
SN  - 00034916
KW  - Exact solution
KW  - Singularity
KW  - Scalar field
KW  - Quantum gravity
KW  - Dirac equation
KW  - Klein-Gordon equation
UR  - https://www.sciencedirect.com/science/article/abs/pii/S0003491620301287?via%3Dihub
N2  - We study the quantum fate of a naked curvature singularity sourced by a scalar field via several methods and compare the results obtained. The first method relies on relativistic quantum mechanics on a fixed background employing the Klein-Gordon and the Dirac equations for a static spacetime. We show that both the Klein-Gordon and the Dirac particles feel this singularity therefore this method does not provide its resolution. For comparison, we subsequently employ methods for quantizing the geometry itself. We selected the canonical quantization via conditional symmetries and as a last approach we use a maximal acceleration derivation in the covariant loop quantum gravity. In both of these approaches the singularity is resolved at the quantum level. We discuss these conflicting results bearing in mind that quantum particles probe classical geometry in the first approach while the last two methods quantize the geometry itself.
ER  - 

SVITEK, O., Tayebeh TAHAMTAN a Adamantia ZAMPELI. Quantum fate of timelike naked singularity with scalar hair. \textit{ANNALS OF PHYSICS}. 2020, roč.~418, July, s.~''168195-1''-''168195-18'', 18 s. ISSN~0003-4916. Dostupné z: https://dx.doi.org/10.1016/j.aop.2020.168195.