J 2020

Quantum fate of timelike naked singularity with scalar hair

SVITEK, O., Tayebeh TAHAMTAN and Adamantia ZAMPELI

Basic information

Original name

Quantum fate of timelike naked singularity with scalar hair

Authors

SVITEK, O., Tayebeh TAHAMTAN (364 Islamic Republic of Iran, belonging to the institution) and Adamantia ZAMPELI

Edition

ANNALS OF PHYSICS, 2020, 0003-4916

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19630/20:A0000021

Organization unit

Institute of physics in Opava

UT WoS

000540218200022

Keywords in English

Exact solution; Singularity; Scalar field; Quantum gravity; Dirac equation; Klein-Gordon equation

Tags

International impact, Reviewed

Links

GA17-16287S, research and development project. LTI17018, research and development project.
Změněno: 26/4/2022 19:14, Mgr. Pavlína Jalůvková

Abstract

V originále

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.