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The coupling between matter and gravity in General Relativity is given by a proportionality relation between the stress tensor and the geometry. This is an oriented assumption driven by the fact that both the stress tensor and the Einstein…

General Relativity and Quantum Cosmology · Physics 2012-09-04 Térence Delsate , Jan Steinhoff

We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the…

High Energy Physics - Theory · Physics 2014-08-06 Sergei D. Odintsov , Gonzalo J. Olmo , D. Rubiera-Garcia

Viable corrections to the matter sector of Poisson's equation may result in qualitatively different astrophysical phenomenology, for example the gravitational collapse and the properties of compact objects can change drastically. We discuss…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Paolo Pani , Terence Delsate , Vitor Cardoso

We study canonical formulation of Born-Infeld inspired gravity coupled non-minimally to scalar field. Then we propose form of Eddington Gravity coupled to collection of scalar fields whose canonical form is the same as Hamiltonian for…

General Relativity and Quantum Cosmology · Physics 2025-10-01 J. Kluson

We resurrect Eddington's proposal for the gravitational action in the presence of a cosmological constant and extend it to include matter fields. We show that the Newton-Poisson equation is modified in the presence of sources and that…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-04 Maximo Banados , Pedro G. Ferreira

In this paper we consider an extension to Eddington's proposal for the gravitational action. We study tensor perturbations of a homogeneous and isotropic space-time in the Eddington regime, where modifications to Einstein gravity are…

General Relativity and Quantum Cosmology · Physics 2012-05-08 Celia Escamilla-Rivera , Maximo Banados , Pedro G. Ferreira

We study a Born-Infeld inspired model of gravity and electromagnetism in which both types of fields are treated on an equal footing via a determinantal approach in a metric-affine formulation. Though this formulation is a priori in conflict…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Victor I. Afonso , Cecilia Bejarano , Rafael Ferraro , Gonzalo J. Olmo

The non-abelian Einstein-Born-Infeld-Dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a $su(2)$-valued gauge field ruled by Born-Infeld lagrangian, is studied in a cosmological framework. The microscopic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 A. Fuzfa , J. -M. Alimi

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates…

High Energy Physics - Theory · Physics 2012-06-26 Yu-Xiao Liu , Ke Yang , Heng Guo , Yuan Zhong

Three dimensional Eddington-inspired Born--Infeld gravity is studied with the goal of finding new solutions. Beginning with cosmology, we obtain analytical and numerical solutions for the scale factor, a(t), in spatially flat (k=0) and…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Soumya Jana , Sayan Kar

We explore the idea that the coupling between matter and spacetime is more complex than the one originally envisioned by Einstein. We propose that such coupling takes the form of a new fundamental tensor in the Einstein field equations. We…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Sante Carloni

Eddington-inspired Born-Infeld gravity was recently proposed as an alternative to general relativity that offers a resolution of spacetime singularities. The theory differs from Einstein's gravity only inside matter due to nondynamical…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Paolo Pani , Thomas P. Sotiriou

We provide an auxiliary field formulation of the full ghost-free bimetric theory which avoids the explicit presence of a square-root matrix in the action. This description always allows for a branch of solutions where the auxiliary fields…

High Energy Physics - Theory · Physics 2014-12-15 Angnis Schmidt-May , Mikael von Strauss

We study a non-linear modification to General Relativity in which the standard Einstein-Hilbert action is replaced by a Born-Infeld type action. Also study us stability issues to judge about viability of this modification. We establish the…

General Physics · Physics 2012-11-06 Dagoberto Escobar

We attempt to construct a gravitational coupling by pre-selecting an energy-momentum tensor as the source for gravitational field. The energy-momentum tensor we take is a recently derived new expression motivated by joint localization of…

General Relativity and Quantum Cosmology · Physics 2017-02-10 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Yousef Bisabr

The recent direct detection of gravitational waves has highlighted the huge importance of the tensorial modes in any extended gravitational theory. One of the most appealing approaches to extend gravity beyond general relativity is the…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Imanol Albarran , Mariam Bouhmadi-López , Che-Yu Chen , Pisin Chen

The Born-Infeld theory of the gravitational field formulated in Weitzenbock spacetime is studied in detail. The action, constructed quadratically upon the torsion two-form, reduces to Einstein gravity in the low field limit where the…

High Energy Physics - Theory · Physics 2016-11-23 Franco Fiorini , Nicolas Vattuone

In this work, we take a short recap of a formal framework of the Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS). We study…

General Relativity and Quantum Cosmology · Physics 2021-04-27 Thanyagamon Kanesom , Phongpichit Channuie , Narakorn Kaewkhao

Einstein gravitation theory can be extended by preserving its geometrical nature but changing the relation between curvature and energy-momentum tensors. This change accounts for radiative corrections, replacing the Newton gravitation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud
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