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There does not exist a notion of time which could be transferred straightforwardly from classical to quantum gravity. For this reason, a method of time quantification which would be appropriate for gravity quantization is being sought. One…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Anna Nakonieczna , Dong-han Yeom

We investigate critical phenomena during the gravitational collapse of a massive scalar field under two distinct semi-classical loop quantum gravity (LQG) approaches within spherical symmetry. Numerical simulations reveal that the massive…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Li-Jie Xin , Xiangdong Zhang

Some dynamical aspects of gravitational collapse are explored in this paper. A time-dependent spherically symmetric metric is proposed and the corresponding Einstein field equations are derived. An ultrarelativistic dust-like…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Miquel Pinol

We study critical phenomena in the gravitational collapse of a radiation fluid. We perform numerical simulations in both spherical symmetry and axisymmetry, and observe critical scaling in both supercritical evolutions, which lead to the…

General Relativity and Quantum Cosmology · Physics 2016-01-08 Thomas W. Baumgarte , Pedro J. Montero

We investigate the possibility of spontaneous scalarization of static, spherically symmetric, and asymptotically flat black holes (BHs) in the Horndeski theory. Spontaneous scalarization of BHs is a phenomenon that the scalar field…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Masato Minamitsuji , Taishi Ikeda

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Daniel Terno

We study numerically the collapse of massless scalar fields in two-dimensional dilaton gravity, both classically and semiclassically. At the classical level, we find that the black hole mass scales at threshold like $M_{\rm bh} \propto…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Yoav Peleg , Sukanta Bose , Leonard Parker

Continuously self-similar solution of spherically symmetric gravitational collapse of a scalar field is studied to investigate quantum mechanical black hole formation by tunneling in the subcritical case where, classically, the collapse…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Dongsu Bak , Sang Pyo kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We propose a new classical theory of gravity which is based on the principle of equivalence and assumption that gravity, similarly to electrodynamics, is described by a vector field in Minkowski space-time. We show that such assumptions…

General Relativity and Quantum Cosmology · Physics 2009-04-22 Anatoly A. Svidzinsky

We argue that the formation of a Schwarzschild black hole via Datt-Oppenheimer-Snyder type gravitational collapse must be accompanied by a change in topology upon formation of the event horizon which physically separates matter in the…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Sabbir Rahman

It is shown - in Ashtekar's canonical framework of General Relativity - that spherically symmetric (Schwarzschild) gravity in 4 dimensional space-time constitutes a finite dimensional completely integrable system. Canonically conjugate…

General Relativity and Quantum Cosmology · Physics 2010-11-01 H. A. Kastrup , T. Thiemann

We study gravitational collapse of a spherically symmetric inhomogeneous dust cloud in the Lovelock theory without cosmological constant. We show that the final fate of gravitational collapse in this theory depends on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Seiju Ohashi , Tetsuya Shiromizu , Sanjay Jhingan

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We study the structure and stability of spherically symmetric Brans-Dicke black-hole type solutions with an infinite horizon area and zero Hawking temperature, existing for negative values of the coupling constant $\omega$. These solutions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , G. Clement , C. P. Constantinidis , J. C. Fabris

This paper constructs continuously self-similar solution of a spherically symmetric gravitational collapse of a scalar field in n dimensions. The qualitative behavior of these solutions is explained, and closed-form answers are provided…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Andrei V. Frolov

We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS)…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Sascha Husa , Christiane Lechner , Michael Pürrer , Jonathan Thornburg , Peter C. Aichelburg

Gravitational collapse in (n+2) dimensional quasi-spherical space-time is studied for a fluid with non vanishing radial pressure. An exact analytic solution is obtained (ignoring the arbitrary integration function) for the equation of state…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sanjukta Chakraborty , Subenoy Chakraborty , Ujjal Debnath

A massless scalar field minimally coupled to the gravitational field in a simplified spherical symmetry is discussed. It is shown that, in this case, the solution found by Roberts, describing a scalar field collapse, is in fact the most…

General Relativity and Quantum Cosmology · Physics 2009-10-28 H. P. de Oliveira , E. S. Cheb-Terrab , DFT-UERJ , Brazil

Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , S. B. Fadeev , A. V. Michtchenko

The virtual black hole phenomenon, which has been observed previously in specific models, is established for generic 2D dilaton gravity theories with scalar matter. The ensuing effective line element can become asymptotically flat only for…

High Energy Physics - Theory · Physics 2011-09-13 D. Grumiller , W. Kummer , D. V. Vassilevich