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We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeomorphisms and local Lorentz transformations,…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

We present a novel equivalence between scale-dependent gravity and scalar-tensor theories that have only a single scalar field with a canonical kinetic term in the Einstein frame and a conformal coupling to the metric tensor. In particular,…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Philipp Neckam , Christian Käding , Benjamin Koch , Cristobal Laporte , Mario Pitschmann , Ali Riahinia , Angel Rincon

We study the dynamical description of gravity, the appropriate definition of the scalar field energy-momentum tensor, and the interrelation between them in scalar-tensor theories of gravity. We show that the quantity which one would naively…

General Relativity and Quantum Cosmology · Physics 2015-06-25 David I. Santiago , Alexander S. Silbergleit

Solar System tests give nowadays constraints on the estimated value of the cosmological constant, which can be accurately derived from different experiments regarding gravitational redshift, light deflection, gravitational time-delay and…

Astrophysics · Physics 2008-11-26 Gianluca Allemandi , Matteo Luca Ruggiero

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

An alternative theory of gravity has recently been proposed by Bekenstein, named Tensor-Vector-Scalar (TeVeS) theory, which can explain many galactic and cosmological observations without the need for dark matter. Whilst this theory passes…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Hajime Sotani

We analyze cosmography as a tool to constrain modified gravity theories. We take four distinct models and obtain their parameters in terms of the cosmographic parameters favored by observational data of strong gravitational lensing. We…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Mario H. Amante , Andrés Lizardo , Javier Chagoya , C. Ortiz

We present phenomenological signatures for a modified gravity model f(R), constructed with linear, quadratic, cubic and quartic terms. The obtained signatures satisfy current phenomenological bounds reported by PLANCK and BICEP3.…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Enrique Diaz , Oscar Meza-Aldama

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Thomas P. Sotiriou

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

We study the background cosmology governed by the Tensor-Vector-Scalar theory of gravity proposed by Bekenstein. We consider a broad family of potentials that lead to modified gravity and calculate the evolution of the field variables both…

Astrophysics · Physics 2008-11-26 F. Bourliot , P. G. Ferreira , D. F. Mota , C. Skordis

We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Tiberiu Harko , Francisco S. N. Lobo , Shin'ichi Nojiri , Sergei D. Odintsov

As a generalization of Einstein's theory, Horava-Lifshitz has attracted significant interests due to its healthy ultraviolet behavior. In this paper, we analyze the impact of the Horava-Lifshitz corrections on the gravitomagnetic field. We…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Li-dong Zhang , Li-Fang Li , Peng Xu , Xing Bian , Ziren Luo

We show that Scalar-Tensor-Vector Gravity (STVG-MOG) is observationally equivalent to the standard model $\Lambda$CDM cosmological model for all probes that depend on isotropic and linear gravitational dynamics, including galaxy rotation…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 John W. Moffat

The tensor-vector-scalar (TeVeS) model is considered a viable theory of gravity. It produces the Milgrom's modified Newtonian dynamics in the nonrelativistic weak field limit and is free from ghosts. This model has been tested against…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-14 Xiao-dong Xu , Bin Wang , Pengjie Zhang

The general relativistic perturbations of scalar-tensor theories (STT) of gravity are studied in a manifestly gauge invariant Hamiltonian formalism. After the derivation of the Hamiltonian equations of motion in this framework, the gauge…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Yu Han , Kristina Giesel , Yongge Ma

This is a reply to the Comment by S.-Y. Wang concerning our paper "Modified Coulomb Law in a Strongly Magnetized Vacuum"

Astrophysics · Physics 2008-11-26 A. E. Shabad , V. V. Usov

In the recent years, a host of modified gravity models have been proposed as alternatives to the dark energy. A quantum theory of gravity also requires to modify `General Theory of Relativity'. In the present article, we consider five…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Dalia Saha , Abhik Kumar Sanyal

In this letter, we consider the theory of $F(R)$ gravity with the lagrangian density $ \pounds = R+\alpha R^2 + \beta R^2 \ln \beta R $. We obtain the constant curvature solutions and find the scalar potential of the gravitational field. We…

General Relativity and Quantum Cosmology · Physics 2016-06-09 J. Sadeghi , H. Farahani

We investigate modified theories of gravity in the context of teleparallel geometries. It is well known that modified gravity models based on the torsion scalar are not invariant under local Lorentz transformations while modifications based…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Sebastian Bahamonde , Christian G. Boehmer , Matthew Wright
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