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Using canonical quantization of a flat FRW cosmological model containing a real scalar field $\phi$ endowed with a scalar potential $V(\phi)$, we are able to obtain exact and semiclassical solutions of the so called Wheeler-DeWitt equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Guzman , M. Sabido , J. Socorro , L. Arturo Urena-Lopez

We develop a framework to study the phase space of a system consisting of a scalar field rolling down an arbitrary potential with varying slope and a background fluid, in a cosmological setting. We give analytical approximate solutions of…

Astrophysics · Physics 2008-11-26 S. C. C. Ng , N. J. Nunes , F. Rosati

In this article we present a theoretical construction of spacetimes with a thin shell that joins two different local cosmic string geometries. We study two types of global manifolds, one representing spacetimes with a thin shell surrounding…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Ernesto F. Eiroa , Emilio Rubin de Celis , Claudio Simeone

We employ the semiclassical approximation to the Wheeler-DeWitt equation in the spatially flat de Sitter Universe to investigate the dynamics of a minimally coupled scalar field near the Planck scale. We find that, contrary to naive…

General Relativity and Quantum Cosmology · Physics 2008-11-07 Corrado Appignani , Roberto Casadio

We consider multiple scalar fields coupled to gravity, with special attention given to two-field theories. First, the conditions necessary for these theories to meet solar system tests are given. Next, we investigate the cosmological…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew L. Berkin , Ronald W. Hellings

In this work, we provide some simple analytical solutions to the Wheeler-DeWitt equation for the minisuperspace applied to de Broglie-Bohmian quantum cosmology for particular potentials of a scalar matter field $\phi$. One solution…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Chia-Min Lin

Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , S. B. Fadeev , A. V. Michtchenko

Anthropic solutions to the cosmological constant problem require seemingly unnatural scalar field potentials with a very small slope or domain walls (branes) with a very small coupling to a four-form field. Here we introduce a class of…

High Energy Physics - Theory · Physics 2009-11-07 Gia Dvali , Alexander Vilenkin

An analitical approximation of $<\phi^2>$ for a scalar field in a static spherically symmetric wormhole spacetime is obtained. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Arkadii A. Popov , Sergey V. Sushkov

A (n+1)-dimensional cosmological model with a set of scalar fields and antisymmetric (p+2)-form is considered. Some of scalar fields may have negative kinetic terms, i.e. they may describe ``phantom'' fields. For certain odd dimensions (D =…

High Energy Physics - Theory · Physics 2007-05-23 H. Dehnen , V. D. Ivashchuk , V. N. Melnikov

We investigate cosmological models in a recently proposed geometrical theory of gravity, in which the scalar field appears as part of the space-time geometry. We extend the previous theory to include a scalar potential in the action. We…

General Relativity and Quantum Cosmology · Physics 2016-09-14 M. L. Pucheu , F. A. P. Alves-Junior , A. B. Barreto , C. Romero

A detailed comparative qualitative analysis and numerical simulation of evolution of the cosmological models based on the doublet of classical and phantom scalar fields with self-action. The 2-dimensional and 3-dimensional projections of…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Yurii Ignat'ev , Alexander Agathonov , Irina Kokh

We study the dynamics of a scalar field in the brane cosmology. We assume that a scalar field is confined in our 4-dimensional world. As for the potential of the scalar field, we discuss three typical models: (1) a power-law potential, (2)…

High Energy Physics - Phenomenology · Physics 2009-11-07 Shuntaro Mizuno , Kei-ichi Maeda , Kohta Yamamoto

In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , M. V. Skvortsova

Static spherically symmetric black holes and particle like solutions with self interacting minimally coupled scalar field {\phi} are analyzed. They are asymptotically flat or anti-de Sitter (AdS). We express them in terms of a single…

General Relativity and Quantum Cosmology · Physics 2016-02-12 J. Tafel

We demonstrate the existence of static, spherically symmetric globally regular, i.e. solitonic solutions of a shift-symmetric scalar-tensor gravity model with negative cosmological constant. The norm of the Noether current associated to the…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Yves Brihaye , Betti Hartmann , Jon Urrestilla

Nonrelativistic scalar field theories can exhibit a natural cascading hierarchy of scales, protected by a hierarchy of polynomial shift symmetries. Using a simple model, we argue that a high-energy cross-over to such nonrelativistic…

High Energy Physics - Phenomenology · Physics 2025-06-25 Kevin T. Grosvenor , Petr Horava , Christopher J. Mogni , Ziqi Yan

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

General Relativity and Quantum Cosmology · Physics 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

According to Einstein's mass-energy equivalence, a body with a given mass extending in a large region of space, will get a smaller mass when confined into a smaller region, because of its own gravitational energy. The classical self-energy…

General Physics · Physics 2013-03-15 G. Dillon

We present a phase-space analysis of cosmology containing multiple scalar fields with positive and negative exponential potentials. We show that there exist power-law multi-kinetic-potential scaling solutions for sufficiently flat positive…

High Energy Physics - Theory · Physics 2009-11-10 Zong-Kuan Guo , Yun-Song Piao , Yuan-Zhong Zhang