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The classical and quantum properties of a new solution obtained in $2+1$% -dimensional gravity coupled with a real scalar field is analyzed in detail. The considered new solution is a one-parameter generalization of a previously known…

General Relativity and Quantum Cosmology · Physics 2017-04-14 O. Gurtug , S. Habib Mazharimousavi , M. Halilsoy

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…

General Relativity and Quantum Cosmology · Physics 2020-05-19 O. Svitek , T. Tahamtan , A. Zampeli

We quantize the solution to the Belinski-Khalatnikov-Lifshitz (BKL) scenario using the integral quantization method. Quantization smears the gravitational singularity avoiding its localization in the configuration space. The latter is…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Andrzej Góźdź , Aleksandra Pȩdrak , Włodzimierz Piechocki

Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while…

High Energy Physics - Theory · Physics 2018-09-10 Tajron Jurić

Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No quantisation procedure is used. The emergent space-time is…

General Relativity and Quantum Cosmology · Physics 2012-01-13 Paweł Duch , Ryszard Paweł Kostecki

The formation of a naked singularity in a model of f(R) gravity having as source a linear electromagnetic field is considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon, Dirac and Maxwell equations are used…

General Relativity and Quantum Cosmology · Physics 2012-08-28 T. Tahamtan , O. Gurtug

The Schwarzschild spacetime metric of negative mass is well-known to contain a naked singularity. In a spacelike slice, this singularity of the metric is characterized by the property that nearby surfaces have arbitrarily small area. We…

Differential Geometry · Mathematics 2013-09-11 Hubert L. Bray , Jeffrey L. Jauregui

We explore the fate of the curvature singularity of Schwarzschild (deSitter) black holes in asymptotically safe quantum gravity. Specifically, we upgrade the classical spacetime by including the running of the Newton coupling and…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Ademola Adeifeoba , Astrid Eichhorn , Alessia Platania

In this article we present the quantization process for Schwarzschild space-time in the context of Teleparallel gravity. In order to achieve such a goal we use the Weyl formalism that establishes a well defined correspondence between…

General Relativity and Quantum Cosmology · Physics 2014-07-18 S. C. Ulhoa , R. G. G. Amorim

We determine coherent states peaked at classical space-time of the Schwarzschild black hole in the frame-work of canonical quantisation of general relativity. The information about the horizon is naturally encoded in the phase space…

High Energy Physics - Theory · Physics 2009-11-10 Arundhati Dasgupta

We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev

We hereby show that the Kasner spacetime turns out to be singularity-free in Einstein's conformal gravity in vacuum or in presence of matter. Such a statement is based on the regularity of the curvature invariants and on the geodesic…

General Relativity and Quantum Cosmology · Physics 2019-06-24 Leonardo Modesto , Hui-Yu Zhu , Jun-Yan Zhang

We revisit the Schwarzschild singularity in a semiclassical setting where the background geometry is classical and quantum effects enter through Bohmian (quantal) trajectories associated with a Klein Gordon wave packet. Using the…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Vishnulal Cheriyodathillathu , Tanmay Patil , Saurya Das , Soumen Basak

A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

Is there a number for every bit of spacetime, or is spacetime smooth like the real line? The ultimate fate of a quantum theory of gravity might depend on it. The troublesome infinities of quantum gravity can be cured by assuming that…

General Relativity and Quantum Cosmology · Physics 2018-01-18 Sean Gryb

We quantize spherically symmetric vacuum gravity without gauge fixing the diffeomorphism constraint. Through a rescaling, we make the algebra of Hamiltonian constraints Abelian and therefore the constraint algebra is a true Lie algebra.…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Rodolfo Gambini , Jorge Pullin

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Emmanuele Battista

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Abhay Ashtekar , Martin Bojowald

We calculate the quantum correlator in Schwarzschild black hole space-time. We perform the calculation for a scalar field in three different quantum states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike circular…

High Energy Physics - Theory · Physics 2017-12-05 Claudia Buss , Marc Casals

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov