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In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2014-11-18 T. R. P. Caramês , E. R. Bezerra de Mello

We revisit the static spherically symmetric solutions of Einstein's General Relativity with a conformally coupled scalar field in arbitrary dimensions. Using a four rank tensor introduced earlier we recast the field equations in a…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Sourya Ray

It is shown that the dynamical evolution of linear perturbations on a static space-time is governed by a constrained wave equation for the extrinsic curvature tensor. The spatial part of the wave operator is manifestly elliptic and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Sarbach , M. Heusler , O. Brodbeck

We consider the problem of building inhomogeneous cosmological models in scalar-tensor theories of gravity. This starts by splitting the field equations of these theories into constraint and evolution equations, and then proceeds by…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Jessie Durk , Timothy Clifton

We consider the general scalar-tensor gravity without derivative couplings. By rescaling of the metric and reparametrization of the scalar field, the theory can be presented in different conformal frames and parametrizations. In this work…

General Relativity and Quantum Cosmology · Physics 2015-02-02 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

In this paper, we evaluate the complexity of the non-static cylindrical geometry with anisotropic matter configuration in the framework of modified Gauss-Bonnet theory. In this perspective, we calculate modified field equations, the C…

General Relativity and Quantum Cosmology · Physics 2025-06-05 M. Zeeshan Gul , W. Ahmad , M. M. M. Nasir , Faisal Javed , Orhan Donmez , Bander Almutairi

Scalar perturbations of Friedmann-Lemaitre cosmologies can be analyzed in a variety of ways using Einstein's field equations, the Ricci and Bianchi identities, or the conservation equations for the stress-energy tensor, and possibly…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Claes Uggla , John Wainwright

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , M. Mousavi

Motivated by statements in the literature which contradict two general theorems, the static and spherically symmetric Brans solutions of scalar-tensor gravity are analyzed explicitly in both the Jordan and the Einstein conformal frames.…

General Relativity and Quantum Cosmology · Physics 2016-11-15 V. Faraoni , F. Hammad , S. D. Belknap-Keet

In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant behave as attractors independently of the initial values. We develop a general…

High Energy Physics - Theory · Physics 2009-11-06 Kei-ichi Maeda , Yasunori Fujii

A scalar theory of gravity extending Newtonian gravity to include field energy as its source is developed. The physical implications of the theory are probed through its spherically symmetric (source) solutions. The aim is to demonstrate…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Joel Franklin

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of…

General Relativity and Quantum Cosmology · Physics 2014-10-13 Farkhat Zaripov

We derive the scalar-tensor modification of the gravitational field of an ultrarelativistic particle beam and its effect on a test particle that is used as sensor. To do so, we solve the linearized scalar-tensor gravity field equations…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Christian Pfeifer , Dennis Rätzel , Daniel Braun

We investigate the revised Deser-Woodard model of nonlocal gravity involving four auxiliary scalar fields, introduced to explain the standard cosmological background expansion history without fine-tuning issues. In particular, we simplify…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Rocco D'Agostino , Vittorio De Falco

In this paper, we explore the existence of various non-singular compact stellar solutions influenced by the Maxwell field within the matter-geometry coupling based modified gravity. We start this analysis by considering a static spherically…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Tayyab Naseer , Jackson Levi Said

We study the modifications on the metric of an isolated self-gravitating bosonic superconducting cosmic string in a scalar-tensor gravity in the weak-field approximation. These modifications are induced by an arbitrary coupling of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. N. Ferreira , M. E. X. Guimaraes , J. A. Helayel-Neto

In this work, we seek a cosmological mechanism that may define the sign of the effective gravitational coupling constant, {\em G}. To this end, we consider general scalar-tensor gravity theories as they provide the field theory natural…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Ismael Ayuso , José P. Mimoso , Nelson J. Nunes

We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless…

High Energy Physics - Theory · Physics 2009-10-30 Youngjai Kiem , Chang-Yeong Lee , Dahl Park

We present a solvable model of two-dimensional dilaton-gravity coupled to a massless scalar field. We locally integrate the field equations and briefly discuss the properties of the solutions. For a particular choice of the coupling between…

High Energy Physics - Theory · Physics 2009-10-31 Marco Cavaglia