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We present a complete analytic and semi-analytic study of gravitational collapse and primordial black hole (PBH) formation in the quadratic $f(R)$ model $f(R)=R+\alpha R^2$. We first derive the perturbative expansion around General…

General Relativity and Quantum Cosmology · Physics 2026-01-07 G. G. L. Nashed

Motivations for the existence of a fundamental preferred frame range from pure phenomenology to attempts to solve the non-renormalizability of quantum gravity, the problem of time (and scale), and the cosmological constant problem(s). In…

General Relativity and Quantum Cosmology · Physics 2014-07-10 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Sinya Aoki , Jorge Ovalle

An analytical model that represents the collapse of a massless scalar wave packet with continuous self-similarity is constructed, and critical phenomena are found. In the supercritical case, the mass of black holes is finite and has the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Anzhong Wang , Henrique P. de Oliveira

Black holes (BHs) play a central role in physics. However, gathering observational evidence for their existence is a notoriously difficult task. Current strategies to quantify the evidence for BHs all boil down to looking for signs of…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Tomohiro Harada , Vitor Cardoso , Daiki Miyata

We investigate here spherically symmetric gravitational collapse in a spacetime with an arbitrary number of dimensions and with a general {\it type I} matter field, which is a broad class that includes most of the physically reasonable…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rituparno Goswami , Pankaj S Joshi

It is proposed that the event horizon of a black hole is a quantum phase transition of the vacuum of space-time analogous to the liquid-vapor critical point of a bose fluid. The equations of classical general relativity remain valid…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Chapline , E. Hohlfeld , R. B. Laughlin , D. I. Santiago

A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations of an extreme Reissner-Nordstrom (RN)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

In gravitational collapses, the horizon and singularity's realisation in the finite future of the proper time used co-moving observer happens in the future of infinitely far away future of the normal time used outside probe. To the latter…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Ding-fang Zeng

We consider spherical collapse in the Randall-Sundrum type II model and estimate the critical over density for black hole formation in the radiation dominated era. It is found that when (density)$^{2}$-term is dominant in the modified…

Astrophysics · Physics 2009-11-10 Masahiro Kawasaki

In this paper, we investigate the gravitational collapse to form the black hole in the acceleratingly expanding universe in the frame of Einstein--Gauss-Bonnet theory having two scalar fields and we study the propagation of the…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Shin'ichi Nojiri , G. G. L. Nashed

We present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. This formalism utilizes well-established techniques used for classical…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

A major issue in general relativity and blackhole physics today is to determine the conditions when the spacetime singularities forming as end-states of gravitational collapse are visible to external observers, and when these are hidden…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Koushiki , Pankaj S. Joshi

An analog of black hole can be realized in the low-temperature laboratory. The horizon can be constructed for the `relativistic' ripplons (surface waves) living on the brane. The brane is represented by the interface between two superfluid…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. E. Volovik

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. 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

We investigate the formation dynamics of sonic horizons in a Bose gas confined in a (quasi) one-dimensional trap. This system is one of the most promising realizations of the analogue gravity paradigm and has already been successfully…

Quantum Gases · Physics 2020-10-12 Manuele Tettamanti , Alberto Parola