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Some recently discovered nonperturbative strong-field effects in tensor-scalar theories of gravitation are interpreted as a scalar analog of ferromagnetism: "spontaneous scalarization". This phenomenon leads to very significant deviations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Thibault Damour , Gilles Esposito-Farese

Assuming spherical symmetry and weak field, it is shown that if one solves the Poisson equation or the Einstein field equations sourced by a topological defect, \ie~a singularity of a very specific form, the result is a localised…

General Physics · Physics 2024-06-10 Richard Lieu

The kinetic motion of the stars of a galaxy is considered within the framework of a relativistic scalar theory of gravitation. This model, even though unphysical, may represent a good laboratory where to study in a rigorous, mathematical…

Mathematical Physics · Physics 2017-08-23 Simone Calogero

Aether Scalar-Tensor theory is a relativistic alternative gravity model that behaves like cold dark matter on cosmological scales while predicting the MOND force-law in astrophysical systems. The theory correctly predicts the cosmic…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Christopher Reyes , Jeremy Sakstein

We investigate, in the framework of a recently introduced new class of invariant geometrical scalar-tensor theory of gravity, the possibility that a viscous dark fluid can be described in a unified manner by a single scalar field. Thus we…

General Relativity and Quantum Cosmology · Physics 2020-09-03 José Edgar Madriz Aguilar , A. Gil-Ocaranza , M. Montes , J. Zamarripa

Generally, the dynamics of test particles around galaxies, as well as the corresponding mass deficit, is explained by postulating the existence of a hypothetical dark matter. In fact, the behavior of the rotation curves shows the existence…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

We find and describe unexpected isomorphisms between two very different objects associated to hypersurface singularities. One object is the Milnor algebra of a function, while the other object associated to a singularity is the local ring…

Algebraic Geometry · Mathematics 2008-04-10 Bernd Martin , Hendrik Süß

We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results under appropriate mathematical and physical assumptions. On…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Juan A. Aledo , Rafael M. Rubio

We extend the chameleon models by considering Scalar-Fluid theories where the coupling between matter and the scalar field can be represented by a quadratic effective potential with density-dependent minimum and mass. In this context, we…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-09 Philippe Brax , Nicola Tamanini

Observations suggest that our universe is spatially flat on the largest observable scales. Exactly six different compact orientable three-dimensional manifolds admit flat metrics. These six manifolds are therefore the most natural choices…

General Relativity and Quantum Cosmology · Physics 2019-12-16 Zhi-Peng Peng , Lee Lindblom , Fan Zhang

We explore the dynamical behaviour of cosmological models involving a scalar field (with an exponential potential and a canonical kinetic term) and a matter fluid with spatial curvature included in the equations of motion. Using…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Mateja Gosenca , Peter Coles

The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for a continuous mathematical description of fundamental physics is a natural outcome of discrete fields with discrete interactions.…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M de Souza

We analyze a new class of static exact solutions of Einstein-Maxwell-Dilaton gravity with arbitrary scalar coupling constant $\alpha$, representing a gravitational body endowed with electromagnetic dipole moment. This class possesses mass,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. Matos

We explore a family of generalised scalar-tensor theories that exhibit self-tuning to low scale anti de Sitter vacua, even in the presence of a large cosmological constant. We are able to examine the linearised fluctuations about these…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Edmund J. Copeland , Sukhraj Ghataore , Florian Niedermann , Antonio Padilla

In this comment we point out some problems with the approach used in the paper "Scalar fields as dark matter in spiral galaxies" in the attempt to explain the flatness of the rotation curves of galaxies.

General Relativity and Quantum Cosmology · Physics 2010-11-19 Daniel Sudarsky

We investigate the robustness of some recent results obtained for homogeneous and isotropic cosmological models with conformally coupled scalar fields. For this purpose, we investigate anisotropic homogeneous solutions of the models…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Raul Abramo , Leon Brenig , Edgard Gunzig , Alberto Saa

We investigate spatially flat isotropic cosmological models which contain a scalar field with an exponential potential and a perfect fluid with a linear equation of state. We include an interaction term, through which the energy of the…

Astrophysics · Physics 2008-11-26 Andrew P. Billyard , Alan A. Coley

A homogeneous and isotropic quantum cosmological system (universe) initially filled with a uniform scalar field that has a potential in the power law representation is considered. Depending on the epoch, this scalar field yields barotropic…

General Relativity and Quantum Cosmology · Physics 2025-10-20 V. E. Kuzmichev , V. V. Kuzmichev

General-relativistic stable spacetimes can be made unstable under the presence of certain nonminimally coupled free scalar fields. In this paper, we analyze the evolution of linear scalar-field perturbations in spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Raissa F. P. Mendes , George E. A. Matsas , Daniel A. T. Vanzella

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