Quantum tunneling and remnant from a quantum-modified Schwarzschild space–time close to Planck scale

Qi, De-Jiang; Liu, Li; Liu, Sheng-Xing

doi:10.1139/cjp-2018-0617

Cited by 5 publications

(4 citation statements)

References 47 publications

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“…Historically, various treatments of a quantum-corrected Schwarzschild metric have been performed in multiple different settings [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. A specific example of such a metric is the "quantum deformed Schwarzschild metric" derived by Kazakov and Solodukhin in Reference [1].…”

Section: Introductionmentioning

confidence: 99%

Regularity of a General Class of “Quantum Deformed” Black Holes

2021

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We discuss the “quantum deformed Schwarzschild spacetime”, as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a “regular black hole”. We shall carefully distinguish (i) regularity of the metric components, (ii) regularity of the Christoffel components, and (iii) regularity of the curvature. We shall then embed the Kazakov–Solodukhin spacetime in a more general framework where these notions are clearly and cleanly separated. Finally, we analyze aspects of the classical physics of these “quantum deformed Schwarzschild spacetimes”. We shall discuss the surface gravity, the classical energy conditions, null and timelike geodesics, and the appropriate variant of the Regge–Wheeler equation.

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Section: Introductionmentioning

confidence: 99%

Regularity of a General Class of “Quantum Deformed” Black Holes

2021

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“…Historically, various treatments of a quantum-corrected Schwarzschild metric have been performed in multiple different settings [2][3][4][5][6][7][8][9][10]. A specific example of such a metric is the "quantum deformed Schwarzschild metric" derived by Kazakov and Solodukhin in reference [1].…”

Section: Introductionmentioning

confidence: 99%

General class of "quantum deformed" regular black holes

Berry,

Simpson,

Visser

2021

Preprint

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We discuss the "quantum deformed Schwarzschild spacetime" as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a "regular black hole". We shall carefully distinguish (i) regularity of the metric components, (ii) regularity of the Christoffel components, and (iii) regularity of the curvature. We shall then embed the Kazakov-Solodukhin spacetime in a more general framework where these notions are clearly and cleanly separated. Finally we analyze aspects of the classical physics of these "quantum deformed Schwarzschild spacetimes". We shall discuss the surface gravity, the classical energy conditions, null and timelike geodesics, and the appropriate variant of Regge-Wheeler equation.

show abstract

“…Historically, various treatments of a quantum-corrected Schwarzschild metric have been performed in multiple different settings [4,29,52,67,107,108,112,123,124]. A specific example of such a metric is the "quantum deformed Schwarzschild metric" derived by Kazakov and Solodukhin in reference [79].…”

Section: Introducing the Spacetimementioning

confidence: 99%

Mimicking Black Holes in General Relativity

Berry¹

2021

Preprint

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The central theme of this thesis is the study and analysis of black hole mimickers. The concept of a black hole mimicker is introduced, and various mimicker spacetime models are examined within the framework of classical general relativity. The mimickers examined fall into the classes of regular black holes and traversable wormholes under spherical symmetry. The regular black holes examined can be further categorised as static spacetimes, however the traversable wormhole is allowed to have a dynamic (non-static) throat. Astrophysical observables are calculated for a recently proposed regular black hole model containing an exponential suppression of the Misner-Sharp quasi-local mass. This same regular black hole model is then used to construct a wormhole via the "cut-and-paste" technique. The resulting wormhole is then analysed within the Darmois-Israel thin-shell formalism, and a linearised stability analysis of the (dynamic) wormhole throat is undertaken. Yet another regular black hole model spacetime is proposed, extending a previous work which attempted to construct a regular black hole through a quantum "deformation" of the Schwarzschild spacetime. The resulting spacetime is again analysed within the framework of classical general relativity. In addition to the study of black hole mimickers, I start with a brief overview of the theory of special relativity where a new and novel result is presented for the combination of relativistic velocities in general directions using quaternions. This is succeed by an introduction to concepts in differential geometry needed for the successive introduction to the theory of general relativity. A thorough discussion of the concept of spacetime singularities is then provided, before analysing the specific black hole mimickers discussed above.

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Quantum tunneling and remnant from a quantum-modified Schwarzschild space–time close to Planck scale

Cited by 5 publications

References 47 publications

Regularity of a General Class of “Quantum Deformed” Black Holes

Regularity of a General Class of “Quantum Deformed” Black Holes

General class of "quantum deformed" regular black holes

Mimicking Black Holes in General Relativity

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