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Quantum gravity is effective in domains where both quantum effects and gravity are essential, such as in the vicinity of space-time singularities. This paper will investigate the quantization of a black-hole gravity, particularly the region…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Carla Rodrigues Almeida , Denis Campos Rodrigues

The singularities present at the centre of black holes signal a break down of the classical theory. In this paper, we demonstrate a resolution of the Schwarzschild-(Anti-)de Sitter singularity by imposing unitary evolution with respect to…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Sofie Ried

The most promising way to compute the gravitational waves emitted by binary black holes (BBHs) in their last dozen orbits, where post-Newtonian techniques fail, is a quasistationary approximation introduced by Detweiler and being pursued by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ilya Mandel

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem…

General Relativity and Quantum Cosmology · Physics 2015-05-20 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

The merging of quantum information science with the relativity theory presents novel opportunities for understanding the enigmas surrounding the transmission of information in relation to black holes. For this purpose, we study the…

General Relativity and Quantum Cosmology · Physics 2024-01-23 S. Haddadi , M. A. Yurischev , M. Y. Abd-Rabbou , M. Azizi , M. R. Pourkarimi , M. Ghominejad

We discuss the implications of a wave function for quantum gravity, which involves nothing but 3-dimensional geometries as arguments and is invariant under general coordinate transformations. We derive an analytic wave function from the…

General Relativity and Quantum Cosmology · Physics 2019-08-17 Masakatsu Kenmoku , Hiroto Kubotani , Eiichi Takasugi , Yuki Yamazaki

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Jens Boos

We examine the Wheeler-DeWitt equaton for a static, eternal Schwarzschild black hole in Kucha\v r-Brown variables and obtain its energy eigenstates. Consistent solutions vanish in the exterior of the Kruskal manifold and are non-vanishing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz , Louis Witten

Quantization of the gravitational field may allow the existence of a decay channel of black holes into white holes with an explicit time-reversal symmetry. The definition of a meaningful decay probability for this channel is studied in…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

The relative flow of the Schwarzschild vs. the proper time during the classical evolution of a collapsing shell in the Schwarzschild coordinates practically forces us to interpret black hole formation as a highly non-local quantum process…

General Relativity and Quantum Cosmology · Physics 2022-07-15 De-Chang Dai , Djordje Minic , Dejan Stojkovic

We investigate a cosmological model whose energy content is described by a Chaplygin gas represented by a scalar field $\phi$ with an associated potential producing a big bang singularity such that for vanishing scale factor, $a\to 0$, one…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Frank Steiner , Andreas Woehr

In this paper, we aim to study the quantum transition between a Schwarzschild black hole and a string black hole in the large $D$ limit. Classically, such a transition between these two distinct black hole geometries is forbidden. The only…

High Energy Physics - Theory · Physics 2026-03-05 Shuxuan Ying

We study a black hole radiation inside the apparent horizon in quantum gravity. First we perform a canonical quantization for spherically symmetric geometry where one of the spatial coordinates is dealt as the time variable since we would…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Akio Hosoya , Ichiro Oda

In this work, we investigate the thermodynamics of Schwarzschild black and white holes within a $q$-deformed Wheeler--DeWitt framework. By introducing a $q$-deformed Heisenberg--Weyl algebra at a root of unity, we derive a…

General Relativity and Quantum Cosmology · Physics 2026-03-31 S. Jalalzadeh , R. Jalalzadeh , H. Moradpour

We wish to study an application of Stueckelberg's relativistic quantum theory in the framework of general relativity. We study the form of the wave equation of a massive body in the presence of a Schwarzschild gravitational field. We treat…

General Relativity and Quantum Cosmology · Physics 2015-05-19 D. M. Ludwin , L. P. Horwitz

A paradigm describing black hole evaporation in non-perturbative quantum gravity is developed by combining two sets of detailed results: i) resolution of the Schwarzschild singularity using quantum geometry methods; and ii) time-evolution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Martin Bojowald

We study the canonical formalism of a spherically symmetric space-time. In the context of the 3+1 decomposition with respect to the radial coordinate $r$, we set up an effective Lagrangian in which a couple of metric functions play the role…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Babak Vakili

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in spherical symmetry, where it can contain…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Mark A. Scheel , Stuart L. Shapiro , Saul A. Teukolsky