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The five-dimensional loop quantum Kaluza-Klein cosmology is constructed based on the symmetric reduction of the connection formulation of the full theory. Through semiclassical analysis, the effective scalar constraint for the cosmological…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Shengzhi Li , Yongge Ma , Faqiang Yuan , Xiangdong Zhang

Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a…

High Energy Physics - Theory · Physics 2017-05-24 Xavier Calmet , Basem Kamal El-Menoufi

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

We propose a new $\bar{\mu}$-scheme Hamiltonian effective dynamics in the spherical symmetric sector of Loop Quantum Gravity (LQG). The effective dynamics is generally covariant as derived from a covariant Lagrangian. The Lagrangian belongs…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Muxin Han , Hongguang Liu

We propose a new model of the spherical symmetric quantum black hole in the reduced phase space formulation. We deparametrize gravity by coupling to the Gaussian dust which provides the material coordinates. The foliation by dust…

General Relativity and Quantum Cosmology · Physics 2022-01-25 Muxin Han , Hongguang Liu

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

In this work, the dynamics of a dust shell in an effective theory of spherically symmetric gravity containing quantum corrections from loop quantum gravity is investigated. To provide a consistent framework for including the dust, we go…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Hanno Sahlmann , Cong Zhang

The Wheeler-DeWitt equation arising from a Kantowski-Sachs model is considered for a Schwarzschild black hole under the assumption that the scale factors and the associated momenta satisfy a noncanonical noncommutative extension of the…

High Energy Physics - Theory · Physics 2011-02-23 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

The interior of Schwarzschild black hole is quantized by the method of loop quantum gravity. The Hamiltonian constraint is solved and the physical Hilbert space is obtained in the model. The properties of a Dirac observable corresponding to…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Cong Zhang , Yongge Ma , Shupeng Song , Xiangdong Zhang

We study a Hamiltonian quantum formalism of a spherically symmetric space-time which can be identified with the interior of a Schwarzschild black hole. The phase space of this model is spanned by two dynamical variables and their conjugate…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Shahram Jalalzadeh , Babak Vakili

We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

We derive the full spacetime metric of a generalized uncertainty-inspired quantum black hole. We examine a previous model of the interior in this approach and show that extending its metric to the full spacetime leads to serious issues in…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Federica Fragomeno , Douglas M. Gingrich , Samantha Hergott , Saeed Rastgoo , Evan Vienneau

Recent efforts have shown that Kantowski-Sachs spacetime provides a useful framework for analyzing perturbations inside a Schwarzschild black hole (BH). In these studies, the adoption of a Hamiltonian formulation offers an insightful…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Michele Lenzi , Guillermo A. Mena Marugán , Andrés Mínguez-Sánchez , Carlos F. Sopuerta

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Florent Michel

We present a framework for analyzing black hole backreaction from the point of view of quantum open systems using influence functional formalism. We focus on the model of a black hole described by a radially perturbed quasi-static metric…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sukanya Sinha , Alpan Raval , B. L. Hu

A pseudo-Riemannian manifold contains an inherent Hamiltonian structure within the symplectic manifold in the cotangent bundle corresponding to the metric. Using this structure, it is possible to define a Hamiltonian, which can be…

General Relativity and Quantum Cosmology · Physics 2012-12-07 Ikjyot Singh Kohli

Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further…

High Energy Physics - Theory · Physics 2025-06-19 Yu-Qi Liu , Hao-Wei Yu , Peng Cheng

We consider the quantum-mechanical decay of a Schwarzschild-like black hole formed by gravitational collapse into almost-flat space-time and weak radiation at a late time. We evaluate quantum amplitudes (not just probabilities) for…

General Relativity and Quantum Cosmology · Physics 2015-05-18 A. N. St. J. Farley , P. D. D'Eath

In this paper, we utilize the effective corrections of the $\bar{\mu}$-scheme in loop quantum black holes to obtain a 4-dimensional spherically symmetric metric with a cosmological constant. By imposing the areal gauge on the components of…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Jianhui Lin , Xiangdong Zhang

We consider a general choice of integration constants in the resolution of the dynamical equations derived from a recently proposed effective model that describes black hole spacetimes in the context of loop quantum cosmology. The interest…

General Relativity and Quantum Cosmology · Physics 2022-09-19 Beatriz Elizaga Navascués , Alejandro García-Quismondo , Guillermo A. Mena Marugán
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