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Einstein gravity minimally coupled to a scalar field with a two-parameter Higgs-like self-interaction in three spacetime dimensions is recast in terms of a Chern-Simons form for the algebra $g^{+}\oplus g^{-}$ where, depending on the sign…

High Energy Physics - Theory · Physics 2023-02-22 Marcela Cárdenas , Oscar Fuentealba , Cristián Martínez , Ricardo Troncoso

It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Vladimir Dzhunushaliev , Vladimir Folomeev , Ratbay Myrzakulov , Douglas Singleton

In this paper we study the properties of black holes and scalarons in Einstein gravity when it is minimally coupled to a scalar field $\phi$ with an asymmetric potential $V(\phi)$, constructed in [Phys. Rev. D \textbf{73} (2006), 084002] a…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Xiao Yan Chew , Dong-han Yeom , Jose Luis Blázquez-Salcedo

The evidence for the observation of the Higgs spin-0-boson as a manifestation of a scalar field provides the missing corner stone for the standard model of particles (SM). However, the SM fails to explain the non-visible but gravitationally…

High Energy Physics - Experiment · Physics 2012-08-21 T. Jenke , G. Cronenberg , P. Geltenbort , A. N. Ivanov , T. Lauer , T. Lins , U. Schmidt , H. Saul , H. Abele

Static (not stationary) solutions of the Einstein-Klein-Gordon (EKG) equations including matter are obtained for real scalar fields. The scalar field interaction with matter is considered. The introduced coupling allows the existence of…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Alejandro Cabo Montes de Oca , Duvier Suarez Fontanella

We construct two kinds of model exhibiting Higgs mechanism for gravitons in potentials of scalar fields. One class of the model is based on a potential which is a generic function of the induced internal metric $H^{AB}$, and the other…

High Energy Physics - Theory · Physics 2014-11-20 Ichiro Oda

The self-gravitating Higgs field of a scalar charge is studied for the case of an asymmetric scalar doublet containing, along with a canonical and a phantom component. It is shown that in the zero and first approximation of the smallness of…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Yu. G. Ignat'ev

In some models dark energy is described by phantom scalar fields (scalar fields with "wrong" sign of the kinetic term in the lagrangian). In the current paper we study the effect of phantom scalar field and/or phantom electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2013-05-31 Galin N. Gyulchev , Ivan Zh. Stefanov

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

We explore the cosmic evolution of a scalar field with the kinetic term coupled to the Einstein tensor. We find that, in the absence of other matter sources or in the presence of only pressureless matter, the scalar behaves as pressureless…

General Relativity and Quantum Cosmology · Physics 2013-05-28 Changjun Gao

We analyse the dynamics of a light scalar field responsible for the $\mu$ term of the Higgs potential and coupled to matter via the Higgs-portal mechanism. We find that this dilaton model is stable under radiative corrections induced by the…

High Energy Physics - Phenomenology · Physics 2023-05-24 Philippe Brax , Clare Burrage , Jose A. R. Cembranos , Patrick Valageas

The Standard Model (SM) without the Higgs mass term is scale invariant. Gildener and Weinberg generalized the scale invariant standard model (SISM) by including the multiplication of scalars in quartic forms. They pointed out that along the…

High Energy Physics - Phenomenology · Physics 2022-05-18 Parsa Ghorbani

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mariano Cadoni

We present an investigation of spinning black holes in Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a non-perturbative approach, by directly solving the field equations. These stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Eugen Radu

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

We study black holes in a modified gravity scenario involving a scalar field quadratically coupled to the Gauss-Bonnet invariant. The scalar is assumed to be in a spontaneously broken phase at spatial infinity due to a bare Higgs-like…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , William T. Emond , Sabir Ramazanov

In this paper we analyse the relativistic quantum motion of a charged spin-0 particle in the presence of a dyon, Aharonov-Bohm magnetic field and scalar potential, in the spacetimes produced by an idealized cosmic string and global…

High Energy Physics - Theory · Physics 2009-11-11 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

We construct gravitational atoms including self-gravity, obtaining solutions of the Einstein-Klein-Gordon equations for a scalar field surrounding a non-rotating black hole in a quasi-stationary approximation. We resolve the region near the…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Darío Núñez , Olivier Sarbach

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a…

High Energy Physics - Theory · Physics 2020-12-01 C. Wetterich

We study the imaging of a hairy black hole (HBH) in the Einstein-Klein-Gordon theory, where Einstein gravity is minimally coupled to a scalar potential $V(\phi)=-\Lambda \phi^4 + \mu \phi^2$ with $\Lambda$ and $\mu$ are constants. As a…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Kok-Geng Lim , Xiao Yan Chew
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