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We study the spherically symmetric gravitational collapse of massless scalar matter field in asymptotic flat spacetime in $f(R)$ gravity. In the Einstein frame of $f(R)$ gravity, an additional scalar field arises due to the conformal…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Cheng-Yong Zhang , Zi-Yu Tang , Bin Wang

A spherically symmetric collapsing scalar field model is discussed with a dissipative fluid which includes a heat flux. This vastly general matter distribution is analyzed at the expense of a high degree of symmetry in the space-time, that…

General Relativity and Quantum Cosmology · Physics 2017-01-17 Narayan Banerjee , Soumya Chakrabarti

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.

High Energy Physics - Theory · Physics 2023-08-08 A. Pinzul , A. Stern

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Takuya Maki , Kiyoshi Shiraishi

The paper is devoted to the study of a singularly perturbed fractional Schr\"{o}dinger equations involving critical frequency and critical growth in the presence of a magnetic field. By using variational methods, we obtain the existence of…

Analysis of PDEs · Mathematics 2016-06-29 Zhang Binlin , Marco Squassina , Zhang Xia

In this article we present a new exact solution for scalar field with cosmological constant in cylindrical symmetry. Associated cosmological models is discussed. One of them describes a Cyclic universe.

General Relativity and Quantum Cosmology · Physics 2010-01-07 Davood Momeni , H. Miraghaei

We study the critical behaviour of spherically symmetric scalar field collapse to black holes in spacetime dimensions other than four. We obtain reliable values for the scaling exponent in the supercritical region for dimensions in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Bland , B. Preston , M. Becker , G. Kunstatter , V. Husain

The $\zeta$ function of a massive scalar field near a cosmic string is computed and then employed to find the vacuum fluctuation of the field. The vacuum expectation value of the energy-momentum tensor is also computed using a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Devis Iellici

Gravitational collapse of a massless scalar field in spherically symmetric anti-de Sitter (AdS) spacetimes presents a new phenomenology with a series of critical points whose dynamics is discretely self-similar as in the asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Daniel Santos-Oliván , Carlos F. Sopuerta

This article reviews classical and quantum aspects of critical phenomena in gravitational collapse. We pay special attention to the origin of the scaling law for black hole mass, and to phase transitions in which black hole formation turns…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Patrick R Brady , Mike J Cai

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

This paper provides an extended exploration of the inverse-chirp gravitational-wave signals from stellar collapse in massive scalar-tensor gravity reported in [Phys. Rev. Lett. {\bf 119}, 201103]. We systematically explore the parameter…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Roxana Rosca-Mead , Ulrich Sperhake , Christopher J. Moore , Michalis Agathos , Davide Gerosa , Christian D. Ott

It has recently been conjectured [A. Ianniccari {\it et al.}, Phys. Rev. Lett. {\bf 133}, 081401 (2024)] that there exists a correspondence between the critical threshold of black-hole formation and the stability properties of null circular…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Shahar Hod

In general relativity black holes can be formed from regular initial data that do not contain a black hole already. The space of regular initial data for general relativity therefore splits naturally into two halves: data that form a black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carsten Gundlach

A particular class of space-time, with a tachyon field, \phi, and a barotropic fluid constituting the matter content, is considered herein as a model for gravitational collapse. For simplicity, the tachyon potential is assumed to be of…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Yaser Tavakoli , João Marto , Amir Hadi Ziaie , Paulo Vargas Moniz

This letter considers stellar core collapse in massive scalar--tensor theories of gravity. The presence of a mass term for the scalar field allows for dramatic increases in the radiated gravitational wave signal. There are several potential…

General Relativity and Quantum Cosmology · Physics 2017-12-04 Ulrich Sperhake , Christopher J. Moore , Roxana Rosca , Michalis Agathos , Davide Gerosa , Christian D. Ott

We give a class of exact solutions of quartic scalar field theories. These solutions prove to be interesting as are characterized by the production of mass contributions arising from the nonlinear terms while maintaining a wave-like…

Mathematical Physics · Physics 2011-07-08 Marco Frasca

Self-similarity induced by critical gravitational collapse is used as a paradigm to probe the mass distribution of subsolar objects. At large mass (solar mass and above) there is widespread agreement as to both the form and parameter values…

Astrophysics · Physics 2007-05-23 Matt Visser , Nicolas Yunes

Plane symmetric self-similar solutions to Einstein's four-dimensional theory of gravity are studied and all such solutions are given analytically in closed form. The local and global properties of these solutions are investigated and it is…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang , Yumei Wu , Zhong Chao Wu

We describe a class of exactly soluble models for gravitational collapse in spherical symmetry obtained by patching dynamical spherically symmetric exterior spacetimes with cosmological interior spacetimes. These are generalizations of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Benjamin K. Tippett , Viqar Husain
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