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Related papers: Singularity-Free Collapse through Local Inflation

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The probability of there being sufficient inflation to solve the fine-tuning associated with the horizon and flatness problems has recently been shown to be exponentially small, within the context of classical general relativity. Here this…

General Relativity and Quantum Cosmology · Physics 2007-08-27 William Nelson

This paper extends to the case of charged rotating black holes the conformally stationary, axisymmetric, conformally separable solutions presented for uncharged rotating black holes in a companion paper. In the present paper, the…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Andrew J. S. Hamilton

At the threshold of black hole formation in the gravitational collapse of a scalar field a naked singularity is formed through a universal critical solution that is discretely self-similar. We study the global spacetime structure of this…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose M. Martin-Garcia , Carsten Gundlach

We investigate the fully relativistic spherical collapse model of a uniform distribution of mass $M$ with initial comoving radius $\chi_*$ and spatial curvature $k \equiv 1/\chi_k^2 \le 1/\chi_*^2$ representing an over-density or bounded…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Enrique Gaztanaga , K. Sravan Kumar , Swaraj Pradhan , Michael Gabler

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 L. Sebastiani , G. Cognola , R. Myrzakulov , S. D. Odintsov , S. Zerbini

Recent cosmic microwave background observations favor low energy scale inflationary models in a closed universe. However, onset of inflation in such models for a closed universe is known to be severely problematic. In particular, such a…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Lucia Gordon , Bao-Fei Li , Parampreet Singh

Mass inflation is a phenomenon happened in the vicinity of inner horizon in two-horizon spacetime. It is shown that the mass of initially small perturbations will grow exponentially as they approach the inner horizon. This implies that…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Changjun Gao , Toktarbay Saken

The existence of initial singularities in expanding universes is proved without assuming the timelike convergence condition. The assumptions made in the proof are ones likely to hold both in open universes and in many closed ones. (It is…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Arvind Borde

We consider the possibility that higher-curvature corrections could drive inflation after the compactification to four dimensions. Assuming that the low-energy limit of the fundamental theory is eleven-dimensional supergravity to the lowest…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Nemanja Kaloper , Keith A. Olive , Jun'ichi Yokoyama

Cosmological local observables are at best statistically determined by the fundamental theory describing inflation. When the scalar inflaton is coupled uniformly to a collection of subdominant massless gauge vectors, rotational invariance…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-07 Mikjel Thorsrud , David F. Mota , Federico R. Urban

We investigate a (super-)renormalizable and ghost-free theory of gravity, showing that under a natural (exponential) ansatz of the form factor and a suitable truncation it can give rise to the Starobinsky inflationary theory in cosmological…

High Energy Physics - Theory · Physics 2013-04-18 Fabio Briscese , Antonino Marciano , Leonardo Modesto , Emmanuel N. Saridakis

We study how the initial inhomogeneities of the spatial curvature affect the onset of inflation in the closed universe. We consider a cosmological model which contains a radiation and a cosmological constant. In order to treat the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 O. Iguchi , H. Ishihara , J. Soda

We consider the compactification of (d+n)-dimensional pure gravity and of superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The internal…

High Energy Physics - Theory · Physics 2009-11-10 Mattias N. R. Wohlfarth

In hybrid inflation, the inflaton generically has a tadpole due to gravitational effects in supergravity, which significantly changes the inflaton dynamics in high-scale supersymmetry. We point out that the tadpole can be cancelled if there…

High Energy Physics - Phenomenology · Physics 2015-06-12 Tetsutaro Higaki , Kwang Sik Jeong , Fuminobu Takahashi

Using the canonical formalism for spherically symmetric black hole inside the apparent horizon we investigate the mass inflation in the Reissner-Nordstr$\ddot o$m black hole in the framework of quantum gravity. It is shown that like in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

Einstein's field equations in general relativity admit a variety of solutions with spacetime singularities. Numerical relativity has recently revealed the properties of somewhat generic spacetime singularities. It has been found that in a…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Tomohiro Harada

We develop a new class of chaotic inflation models with spontaneously broken conformal invariance. Observational consequences of a broad class of such models are stable with respect to strong deformations of the scalar potential. This…

High Energy Physics - Theory · Physics 2015-06-16 Renata Kallosh , Andrei Linde

The construction of black hole spacetimes that are regular (singularity-free) is plagued by the "mass inflation" instability, a classical perturbation instability induced by the surface gravity at the inner horizon and characterized by…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Tyler McMaken

We investigate the unhindered gravitational collapse of a homogeneous scalar field with nonzero potential, a two-dimensional analog of the Mexican hat-shaped Higgs field potential. The collapsing scalar field is surrounded by an exterior…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Karim Mosani , Dipanjan Dey , Kaushik Bhattacharya , Pankaj S. Joshi

We construct a (quantum mechanically) modified model for the Oppenheimer-Snyder collapse scenario where the exterior of the collapsing dust ball is a Hayward black hole spacetime and the interior is a dust Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Michał Bobula