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It has long been demonstrated that the vacuum scalar-tensor theory in the Jordan-frame Brans-Dicke parametrization is form-invariant under conformal transformations, provided that a suitable transformation of the coupling parameter $\omega$…

广义相对论与量子宇宙学 · 物理学 2026-04-20 Israel Quiros , Amit Kumar Rao

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov equations…

广义相对论与量子宇宙学 · 物理学 2012-11-06 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

This manuscript provides a characterisation of the equivalence class of classical smooth Lagrangian densities that involve terms depending on two distinct points of the underlying Euclidean base space of the theory. Theories of this type…

高能物理 - 理论 · 物理学 2020-09-29 Kevin Thieme

We study the qualitative properties of cosmological models in scalar-tensor theories of gravity by exploiting the formal equivalence of these theories with general relativity minimally coupled to a scalar field under a conformal…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Andrew Billyard , Alan A Coley , Jesus Ibanez

Scalar-tensor theories of gravity are known to allow significant deviations from general relativity through various astrophysical phenomena. In this paper, we formulate a scalar-connection gravity by setting up scalars and connection…

广义相对论与量子宇宙学 · 物理学 2021-01-21 Hemza Azri , Salah Nasri

A scalar-tensor theory of gravity is formulated in which $G$ and particle masses are allowed to vary. The theory yields a globally static cosmological model with no evolutionary timescales, no cosmological coincidences, and no flatness and…

综合物理 · 物理学 2015-10-01 Meir Shimon

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…

广义相对论与量子宇宙学 · 物理学 2025-07-15 A. V. Tugay , V. I. Zhdanov , Yu. V. Taistra

We consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the torsion and the scalar field. The field…

广义相对论与量子宇宙学 · 物理学 2018-09-12 Manuel Hohmann , Christian Pfeifer

This work concerns scalar field theories with topologically nontrivial vacuum manifold in rotationally symmetric backgrounds of arbitrary dimension. Lagrangians with canonical and generalized kinetic terms are considered, and a Bogomol'nyi…

高能物理 - 理论 · 物理学 2026-05-15 I. Andrade , M. A. Liao

The background dynamical evolution of a universe filled with matter and a cosmological scalar field is analyzed employing dynamical system techniques. After the phenomenology of a canonical scalar field with exponential potential is…

广义相对论与量子宇宙学 · 物理学 2014-04-23 Nicola Tamanini

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

广义相对论与量子宇宙学 · 物理学 2011-03-22 Tekin Dereli , Özcan Sert

This paper treats nonrelativistic matter and a scalar field $\phi$ with a monotonically decreasing potential minimally coupled to gravity in flat Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. The field equations are reformulated as a…

广义相对论与量子宇宙学 · 物理学 2015-11-11 Artur Alho , Claes Uggla

Considering an action in F(G) modified gravity, the static spherically symmetric solutions are investigated. Introducing the Lagrangian multipliers {\alpha} we obtain the Lagrangian and equations of motion. we obtain two type solutions for…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Naser Mohammadipour

We extend the concept of quintessence to a flat nonminimally coupled scalar - tensor theories of gravity. By means of Noether's symmetries for the cosmological pointlike Lagrangian L, it is possible to exhibit exact solutions for a class of…

高能物理 - 理论 · 物理学 2009-09-25 R. de Ritis , A. A. Marino , C. Rubano , P. Scudellaro

The massless minimally coupled scalar field in de Sitter ambient space formalism might play a similar role to what the Higgs scalar field accomplishes within the electroweak standard model. With the introduction of a "local transformation"…

广义相对论与量子宇宙学 · 物理学 2017-10-31 Jean Pierre Gazeau , Mohammad Vahid Takook

The Newtonian approximation with a nonvanishing nonlocal background field is analyzed for the scalar-tensor nonlocal gravity and nonlocal Gauss-Bonnet gravity. For these two theories, our calculations show that the Newtonian gravitational…

广义相对论与量子宇宙学 · 物理学 2019-03-28 S. X. Tian , Zong-Hong Zhu

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

广义相对论与量子宇宙学 · 物理学 2008-06-11 J. W. Moffat

This paper studies the cosmological equations for a scalar field Phi in the framework of a quantum gravity modified Einstein--Hilbert Lagrangian where G and Lambda are dynamical variables. It is possible to show that there exists a Noether…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Alfio Bonanno , Giampiero Esposito , Claudio Rubano , Paolo Scudellaro

We study the linear stability of vacuum static, spherically symmetric solutions to the gravitational field equations of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity, restricting ourselves to nonphantom…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Kodir Badalov , Rustam Ibadov

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

广义相对论与量子宇宙学 · 物理学 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos