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The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Viqar Husain , Daniel R. Terno

Inspired by possible connections between gravity and foundational question in quantum theory, we consider an approach for the adaptation of objective collapse models to a general relativistic context. We apply these ideas to a list of open…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Elias Okon , Daniel Sudarsky

We give a formulation of quantum cosmology with a pressureless dust and arbitrary additional matter fields. The system has the property that its Hamiltonian constraint is linear in the dust momentum. This feature provides a natural time…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Viqar Husain , Tomasz Pawlowski

We study the spherically symmetric collapse of a fluid with non-vanishing radial pressure in higher dimensional space-time. We obtain the general exact solution in the closed form for the equation of state ($P_r = \gamma \rho$) which leads…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Naresh Dadhich , S. G. Ghosh , D. W. Deshkar

We study collapse of evaporating spherically-symmetric thin dust shells and dust balls assuming that quantum effects are encapsulated in a spherically-symmetric metric that satisfied mild regularity conditions. The evaporation may…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

A solvable 2-dimensional conformally invariant midi-superspace model for black holes is obtained by imposing spherical symmetry in 4-dimensional conformally invariant Einstein gravity. The Wheeler-DeWitt equation for the theory is solved…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. Gegenberg , G. Kunstatter

We present a method for solving the constraint equations in the Hassan-Rosen bimetric theory to determine the initial data for the gravitational collapse of spherically symmetric dust. The setup leads to equations similar to those for a…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Mikica Kocic , Francesco Torsello , Marcus Högås , Edvard Mortsell

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S G Ghosh , A Beesham

In this paper, we study the quasi-normal modes (QNMs) of a scalar field in the background of a large class of quantum black holes that can be formed from gravitational collapse of a dust fluid in the framework of effective loop quantum…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Chao Zhang , Anzhong Wang

We study the end stages of gravitational collapse of the thin shell of matter in ingoing Eddington-Finkelstein coordinates. We use the functional Schrodinger formalism to capture quantum effects in the near singularity limit. We find that…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Anshul Saini , Dejan Stojkovic

We consider the quantization of space-times which can possess different topologies within a symmetry reduced version of Wheeler-DeWitt theory. The quantum states are defined from a natural decomposition as an outer-product of a topological…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Johan Brannlund , Andrew DeBenedictis , Alison Lauman

Understanding the end state of black hole evaporation, the microscopic origin of black hole entropy, the information loss paradox, and the nature of the singularity arising in gravitational collapse - these are outstanding challenges for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. P. Singh , Cenalo Vaz

Assuming that Quantum Mechanics is universal and that it can be applied over all scales, then the Universe is allowed to be in a quantum superposition of states, where each of them can correspond to a different space-time geometry. How can…

General Relativity and Quantum Cosmology · Physics 2024-02-27 José Luis Gaona-Reyes , Lucía Menéndez-Pidal , Mir Faizal , Matteo Carlesso

A recent covariant formulation, that includes non-perturbative effects from loop quantum gravity (LQG) as self-consistent effective models, has revealed the possibility of non-singular black hole solutions. The new framework makes it…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Idrus Husin Belfaqih , Martin Bojowald , Suddhasattwa Brahma , Erick I. Duque

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. Because of small quantum fluctuations in the mass of the black hole, the usual approximation of treating the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Miguel E. Ortiz

The macroscopic effects of the quantum conformal anomaly are evaluated in a simplified two-dimensional model of gravitational collapse. The effective action and stress tensor of the anomaly can be expressed in a local quadratic form by the…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Emil Mottola , Mani Chandra , Gian Mario Manca , Evgeny Sorkin

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. J. Adler , J. D. Bjorken , P. Chen , J. S. Liu

Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect a decaying flavor-oscillating system whose evolution is…

Quantum Physics · Physics 2020-08-26 Kyrylo Simonov

We show how, in canonical quantum cosmology, the frame fixing induces a new energy density contribution having features compatible with the (actual) cold dark matter component of the Universe. First we quantize the closed…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Corvino , Giovanni Montani

A sufficiently massive collapsing star will end its life as a spacetime singularity. The nature of the Hawking radiation emitted during collapse depends critically on whether the star's boundary conditions are such as would lead to the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. P. Singh , Cenalo Vaz