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In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

Static spherically symmetric uncoupled scalar space-times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that non-static solutions have been sought to see…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

Does circumventing the curvature singularity of the Kerr black hole affects the timescale of the scalar cloud formation around it? By definition, the scalar cloud, forms a gravitational atom with hydrogen-like bound states, lying on the…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Mohsen Khodadi , Reza Pourkhodabakhshi

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We study the quantum gravitational collapse of spherically symmetric pressureless dust. Using an effective equation derived from a polymer quantization in the connection-triad phase space variables of general relativity, we find…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Viqar Husain , Jarod George Kelly , Robert Santacruz , Edward Wilson-Ewing

As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544, 403 (1999)) 2d quantum gravity theories --- including spherically reduced Einstein-gravity --- after an exact path integral of its geometric part can be treated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , W. Kummer , D. V. Vassilevich

We examine the gravitational collapse of a non-linear sigma model in spherical symmetry. There exists a family of continuously self-similar solutions parameterized by the coupling constant of the theory. These solutions are calculated…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Eric W. Hirschmann , Douglas M. Eardley

In this note a time dependent spacetime is explored in the background of $f(R,T)$ gravity via the gravitational collapse of a massive star. The star is modelled by the Vaidya spacetime which is time dependent in nature. The coupling of…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Prabir Rudra

We study numerically the fully nonlinear spherically-symmetric collapse of a self-gravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on free evolution of the metric functions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

The higher dimensional spherical symmetric scalar field collapse problem is studied in the light of the critical behavior in black hole formation. To make the analysis tractable, the self similarity is also imposed. By giving a new view to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jiro Soda , Kouichirou Hirata

We investigate how a spherically symmetric scalar field can modify the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the scalar field and the central source of the Schwarzschild metric. This system is…

General Relativity and Quantum Cosmology · Physics 2018-11-22 J Ovalle , R Casadio , R da Rocha , A Sotomayor , Z Stuchlik

We first present an overview of the Schwarzschild vacuum spacetime within general relativity, with particular emphasis on the role of scalar polynomial invariants and the null frame approach (and the related Cartan invariants), that…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alan A. Coley , Nicholas T. Layden , Diego F. Lopez

We study the dynamic collapse driven by a scalar field, when a relativistic observer falls co-moving with the collapse and cross the horizon of a Schwarzschild black-hole (BH), at $t=t_0$. During the collapse the scale of time is considered…

General Relativity and Quantum Cosmology · Physics 2019-10-03 Jaime Mendoza Hernández , Mauricio Bellini , Claudia Moreno

Self-Interacting Dark Matter (SIDM) is a collisional form of cold dark matter (CDM), originally proposed to solve problems that arose when the collisionless CDM theory of structure formation was compared with observations of galaxies on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Jun Koda , Paul R. Shapiro

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Irina Dymnikova

We provide a general framework for studying the dark energy cosmology in which a scalar field $\phi$ is nonminimally and kinetically coupled to Cold Dark Matter (CDM). The scalar-graviton sector is described by the action of Horndeski…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Ryotaro Kase , Shinji Tsujikawa

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

We explicitly express the Minkowski vacuum of a massless scalar field in terms of the particle notion associated with suitable spherical conformal killing fields. These fields are orthogonal to the light wavefronts originating from a sphere…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Alejandro Perez , Salvatore Ribisi

In this thesis the universal collapse of vacuum Brill waves is demonstrated numerically and analytically. This thesis presents the mathematical and numerical methods necessary to regularise and evolve Brill Gravitational Waves in spherical…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Andrew Masterson

The Riemann, Ricci and Einstein tensors for N-dimensional spherically symmetric spacetimes in various systems of coordinates are studied, and the general metric for conformally flat spacetimes is given. As an application, all the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaime F. Villas da Rocha , Anzhong Wang
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