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We enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field \phi in general relativity, with an…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kirill A. Bronnikov

A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the…

High Energy Physics - Theory · Physics 2009-11-07 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We investigate homogeneous and isotropic cosmological models in scalar-tensor theories of gravity where two scalar fields are nonminimally coupled to the geometry. Exact solutions are found, by Noether symmetries, depending on the form of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Capozziello , G. Lambiase

It is shown that flat spacetime can be dressed with a real scalar field that satisfies the nonlinear Klein-Gordon equation without curving spacetime. Surprisingly, this possibility arises from the nonminimal coupling of the scalar field…

High Energy Physics - Theory · Physics 2007-05-23 Eloy Ayón-Beato , Cristián Martínez , Ricardo Troncoso , Jorge Zanelli

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norman Cruz , Cristian Martinez

A gravitational potential has the spherical property when the field outside any uniform spherical shell is indistinguishable from that of a point mass at the center. We present the general potentials that possess this property on constant…

Classical Physics · Physics 2026-01-28 Ava K. Tse , Olivia M. Markowich , Trung V. Phan

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields which describe traversable wormholes (with flat and AdS asymptotics) and regular black…

General Relativity and Quantum Cosmology · Physics 2015-03-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

Spherically symmetric solutions in F(R) theories in astronomical systems with rising energy density are studied. The range of parameters is established for which the flat space-time approximation for the background metric is valid. For the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

In the present work we revisit a model consisting of a scalar field with a quartic self-interaction potential non-minimally (conformally) coupled to gravity [1]. When the scalar field vacuum is in a broken symmetry state, an effective…

General Relativity and Quantum Cosmology · Physics 2017-06-15 V. Antunes , M. Novello

A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole solutions with scalar-field hair in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulises Nucamendi , Marcelo Salgado

In this paper two things are done. First, it is pointed out the existence of exact asymptotically flat, spherically symmetric black holes when a self interacting, minimally coupled scalar field is the source of the energy momentum of the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Andres Anabalon , Julio Oliva

The existence of static, spherically symmetric, self-gravitating scalar field solutions in the context of Born-Infeld gravity is explored. Upon a combination of analytical approximations and numerical methods, the equations for a free…

General Relativity and Quantum Cosmology · Physics 2017-09-06 V. I. Afonso , Gonzalo J. Olmo , D. Rubiera-Garcia

Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alan Coley , Martin Goliath

General relativistic static spherically symmetric (SSS) asymptotically flat configurations with scalar fields typically contain naked singularities at the center. We consider minimally coupled scalar fields with power-law potentials leading…

General Relativity and Quantum Cosmology · Physics 2025-07-15 A. V. Tugay , V. I. Zhdanov , Yu. V. Taistra

In this work we study the boson stars and boson shells in a theory involving massive complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the presence of a cosmological constant ${\Lambda}$ which we…

High Energy Physics - Theory · Physics 2017-09-28 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

New Planck scale physics may solve the singularity problems of classical general relativity and may lead to interesting consequences for very early Universe cosmology. Two approaches to these questions are reviewed in this article. The…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Robert H. Brandenberger

Spontaneous scalarization is a mechanism that allows a scalar field to go undetected in weak gravity environments and yet develop a nontrivial configuration in strongly gravitating systems. At the perturbative level it manifests as a…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Hector O. Silva , Andrew Coates , Fethi M. Ramazanoğlu , Thomas P. Sotiriou

Scalar fields coupled to gravity via $\xi R {\Phi}^2$ in arbitrary Friedmann-Robertson-Walker backgrounds can be represented by an effective flat space field theory. We derive an expression for the scalar energy density where the effective…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Thomas W. Kephart

The self-gravitating, spherically symmetric thin shells built of orbiting particles are sstudied. Two new features are found. One is the minimal possible value for an angular momentum of particles, above which elleptic orbits become…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Victor Berezin , Maxim Okhrimenko

It is proved that all thin-shell wormholes built from two identical regions of vacuum static, spherically symmetric space-times have a negative shell surface energy density in any scalar-tensor theory of gravity with a non-ghost massless…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Kirill A. Bronnikov , Alexei A. Starobinsky