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The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

In this paper, I study spherically symmetric solutions in a simple class of geometric sigma models of the Universe. This class of models is a subclass of the wider class of scalar-tensor theories of gravity. The purpose of this work is to…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Milovan Vasilić

We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Yanwen Shang

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

General Relativity and Quantum Cosmology · Physics 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

In this work, we investigate the construction of spherically symmetric solutions within the framework of modified teleparallel gravity, focusing in particular on $f({\cal T})$ theory, where ${\cal T}$ represents the torsion scalar.…

General Relativity and Quantum Cosmology · Physics 2025-08-08 G. G. L. Nashed , A. Eid

We study spherically symmetric solutions in f(R) theories and its compatibility with local tests of gravity. We start by clarifying the range of validity of the weak field expansion and show that for many models proposed to address the Dark…

General Relativity and Quantum Cosmology · Physics 2010-10-27 I. Navarro , K. Van Acoleyen

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant way. We consider the use of four scalar…

High Energy Physics - Theory · Physics 2008-01-07 Gerard 't Hooft

We provide a detailed analysis of Friedmann-Robertson-Walker universes in a wide range of scalar-tensor theories of gravity. We apply solution-generating methods to three parametrised classes of scalar-tensor theory which lead naturally to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 John D. Barrow , Paul Parsons

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function $f(\phi)$ and potential $U(\phi)$. The scalar…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Kirill A. Bronnikov , Kodir Badalov , Rustam Ibadov

We consider scalar tensor theories in D-dimensional spacetime, D \ge 4. They consist of metric and a non minimally coupled scalar field, with its non minimal coupling characterised by a function. The probes couple minimally to the metric…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Arjun Bagchi , S. Kalyana Rama

It is generically believed that higher-order curvature corrections to the Einstein-Hilbert action might cure the curvature singularities that plague general relativity. Here we consider Einstein-scalar-Gauss-Bonnet gravity, the only…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Laura Sberna , Paolo Pani

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

In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling $F(\phi)=e^{-2Q\phi}$ with the Ricci scalar $R$ we…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We attempt to clarify several aspects concerning the recently presented four-dimensional Einstein-Gauss-Bonnet gravity. We argue that the limiting procedure outlined in [Phys. Rev. Lett. 124, 081301 (2020)] generally involves ill-defined…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Julio Arrechea , Adrià Delhom , Alejandro Jiménez-Cano

We discuss two spherically symmetric solutions admitted by the Horndeski (or scalar tensor) theory in the context of solar system and astrophysical scenarios. One of these solutions is derived for Einstein-Gauss-Bonnet gravity, while the…

General Relativity and Quantum Cosmology · Physics 2017-02-28 Sourav Bhattacharya , Sumanta Chakraborty

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically…

High Energy Physics - Theory · Physics 2015-12-22 H. Lü , A. Perkins , C. N. Pope , K. S. Stelle

We study relativistic stars in Hordenski theories that evade the gravitational wave constraints and exhibit the Vainshtein mechanism, focusing on a model based on the cubic Galileon Lagrangian. We derive the scalar field profile for static…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Hiromu Ogawa , Tsutomu Kobayashi , Kazuya Koyama

We solve the equations of motion of a complex $\phi^4$ theory coupled to some given gauge field background. The solutions are given in both cylindrical and spherical coordinates and have finite energy.

High Energy Physics - Theory · Physics 2021-02-03 Noureddine Mohammedi

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

General Relativity and Quantum Cosmology · Physics 2008-11-07 S. Deser , O. Sarioglu , B. Tekin