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We generalize the algorithm that establishes the correspondence between metric-affine Eddington-inspired Born-Infeld (EiBI) gravity and General Relativity (GR) to any bosonic matter sector. Along the way, a polished version of the proof of…

广义相对论与量子宇宙学 · 物理学 2020-05-07 Emanuele Orazi

We discuss exact scalar field solutions describing gravitating compact objects in the Eddington-inspired Born-Infeld gravity (EiBI), a member of the class of (metric-affine formulated) Ricci-based gravity theories (RBGs). We include a…

广义相对论与量子宇宙学 · 物理学 2020-07-21 Victor I. Afonso

General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the connections are taken as independent quantities. The metric-affine theory of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P. Sotiriou , Stefano Liberati

We analyse a scalar field non-minimally coupled to gravity in the context of a Universe described by the flat Friedmann-Robertson-Walker (F-R-W) metric. The adopted model comprises a Universe filled by the scalar field and standard matter…

广义相对论与量子宇宙学 · 物理学 2013-09-16 Rudinei C. de Souza , Raíla André , Gilberto M. Kremer

In a previous paper we showed that static spherically symmetric objects which, in the vicinity of their surface, are well-described by a polytropic equation of state with 3/2<Gamma<2 exhibit a curvature singularity in Palatini f(R) gravity.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 E. Barausse , T. P. Sotiriou , J. C. Miller

We build a self-consistent relativistic scalar theory of gravitation on a flat Minkowski spacetime from a general field Lagrangian. It is shown that, for parameters that satisfy the Equivalence Principle, this theory predicts the same…

广义相对论与量子宇宙学 · 物理学 2023-05-15 Diogo P. L. Bragança

Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a theoretical framework (in the Palatini…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gianluca Allemandi , Mauro Francaviglia , Matteo Luca Ruggiero , Angelo Tartaglia

Since all Einstein spacetimes are vacuum solutions to quadratic gravity in four dimensions, in this paper we study various aspects of non-Einstein vacuum solutions to this theory. Most such known solutions are of traceless Ricci and Petrov…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

高能物理 - 理论 · 物理学 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

We consider the existence of a Noether symmetry in the scalar-tensor theory of gravity in flat Friedman Robertson Walker (FRW) cosmology. The forms of coupling function $\omega(\phi)$ and generic potential $V(\phi)$ are obtained by…

高能物理 - 理论 · 物理学 2007-05-23 Hossein Motavali , Mahdi Golshani

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Plamen P. Fiziev

The field equations in FRW background for the so called C-theories are presented and investigated. In these theories the usual Ricci scalar is substituted with $f(\mathcal{R})$ where $\mathcal{R}$ is a Ricci scalar related to a conformally…

宇宙学与河外天体物理 · 物理学 2013-05-22 Tomi S. Koivisto , David F. Mota , Marit Sandstad

The role of torsion and a scalar field $\phi$ in gravitation in the background of a particular class of the Riemann-Cartan geometry is considered here. Some times ago, a Lagrangian density with Lagrange multipliers has been proposed by the…

天体物理学 · 物理学 2008-02-18 Prasanta Mahato

In a recent paper we have analyzed the Spinor Theory of Gravity (STG) which is based on the intimate relation between Fermi (weak) interaction and gravity. We presented the hypothesis that the effect of matter upon the metric that…

广义相对论与量子宇宙学 · 物理学 2020-07-08 M. Novello , A. E. S. Hartmann

We develop a local reconstruction framework between $\Phi(R,\phi,X)$ theories with linear dependence on $X$ and generalized hybrid metric--Palatini gravity. The construction is formulated in vacuum in the Einstein frame, where both…

广义相对论与量子宇宙学 · 物理学 2026-05-07 Jonathan Ramírez

The characterization of the gravitational field of isolated objects is still an open question in quadratic theories of gravity. We study static equilibrium solutions for a self-gravitating fluid in extensions of General Relativity including…

广义相对论与量子宇宙学 · 物理学 2021-08-26 Alfio Bonanno , Samuele Silveravalle

In this work, we study cosmological and astrophysical applications of the recently proposed generalized hybrid metric-Palatini gravity theory, which combines features of both the metric and the Palatini approaches to the variational method…

广义相对论与量子宇宙学 · 物理学 2019-11-20 João Luís Rosa

The connection between $f(R)$ theories of gravity and scalar-tensor models with a "physical" metric coupled to the scalar field is well known. In this work, we pursue the equivalence between a suitable scalar theory and a model that…

广义相对论与量子宇宙学 · 物理学 2009-01-01 O. Bertolami , J. Páramos

A novel theory of $F(R)$ gravity with the Lagrangian density ${\cal L}=[R-(b/\beta)\arctan\left(\beta R\right)]/(2\kappa^2)$ is analyzed. Constant curvature solutions of the model are found, and the potential of the scalar field and the…

广义相对论与量子宇宙学 · 物理学 2014-03-07 S. I. Kruglov

We consider a model involving a self-interacting complex scalar field minimally coupled to gravity and emphasize the cylindrically symmetric classical solutions. A general ansatz is performed which transforms the field equations into a…

广义相对论与量子宇宙学 · 物理学 2013-07-11 Y. Brihaye , T. Delsate