Unified cosmic history in modified gravity: from F (R) theory to Lorentz non-invariant models

S Nojiri, SD Odintsov - Physics Reports, 2011 - Elsevier
The classical generalization of general relativity is considered as the gravitational alternative
for a unified description of the early-time inflation with late-time cosmic acceleration. The …

[HTML][HTML] f (R) theories

A De Felice, S Tsujikawa - Living Reviews in Relativity, 2010 - Springer
Over the past decade, f (R) theories have been extensively studied as one of the simplest
modifications to General Relativity. In this article we review various applications of f (R) …

Palatini approach to modified gravity: f (R) theories and beyond

GJ Olmo - International Journal of Modern Physics D, 2011 - World Scientific
We review the recent literature on modified theories of gravity in the Palatini approach. After
discussing the motivations that lead to consider alternatives to Einstein's theory and to treat …

Some exact solutions of F (R) gravity with charged (a) dS black hole interpretation

SH Hendi, BE Panah, SM Mousavi - General Relativity and Gravitation, 2012 - Springer
In this paper we obtain topological static solutions of some kind of pure F (R) gravity. The
present solutions are two kind: first type is uncharged solution which corresponds with the …

[HTML][HTML] Noether symmetry in f (R) cosmology

B Vakili - Physics Letters B, 2008 - Elsevier
The Noether symmetry of a generic f (R) cosmological model is investigated by utilizing the
behavior of the corresponding Lagrangian under the infinitesimal generators of the desired …

Timelike geodesics of a modified gravity black hole immersed in an axially symmetric magnetic field

S Hussain, M Jamil - Physical Review D, 2015 - APS
We investigate the dynamics of a neutral and a charged particle around a black hole in
modified gravity immersed in a magnetic field. Our focus is on the scalar-tensor-vector theory …

The relation between F (R) gravity and Einstein-conformally invariant Maxwell source

SH Hendi - Physics Letters B, 2010 - Elsevier
In this Letter, we consider the special case of F (R) gravity, in which F (R)= RN and obtain its
topological black hole solutions in higher dimensions. We show that, the same as higher …

The other way around: from alternative gravity to entropy

K Ourabah - Classical and Quantum Gravity, 2023 - iopscience.iop.org
Since the seminal work of Verlinde, the idea that gravity may be an emergent force of
entropic origin has gained widespread attention. Many generalizations of this key idea have …

Hamiltonian formulation of Palatini theories à la Brans-Dicke theory

GJ Olmo, H Sanchis-Alepuz - Physical Review D—Particles, Fields, Gravitation …, 2011 - APS
We study the Hamiltonian formulation of f (R) theories of gravity both in metric and in Palatini
formalism using their classical equivalence with Brans-Dicke theories with a nontrivial …

[HTML][HTML] Noether symmetric f (R) quantum cosmology and its classical correlations

B Vakili - Physics Letters B, 2008 - Elsevier
We quantize a flat FRW cosmology in the context of the f (R) gravity by Noether symmetry
approach. We explicitly calculate the form of f (R) for which such symmetries exist. It is …