Light bending in F[g(□)R] extended gravity theories

We show that in the weak field limit the light deflection alone cannot distinguish between different R+F[g(□)R] models of gravity, where F and g are arbitrary functions. This does not imply, however, that in all these theories an observer will see the same deflection angle. Owed to the need to calib...

Full description

Bibliographic Details
Main Authors: Breno L. Giacchini, Ilya L. Shapiro
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318301667
_version_ 1811206102385164288
author Breno L. Giacchini
Ilya L. Shapiro
author_facet Breno L. Giacchini
Ilya L. Shapiro
author_sort Breno L. Giacchini
collection DOAJ
description We show that in the weak field limit the light deflection alone cannot distinguish between different R+F[g(□)R] models of gravity, where F and g are arbitrary functions. This does not imply, however, that in all these theories an observer will see the same deflection angle. Owed to the need to calibrate the Newton constant, the deflection angle may be model-dependent after all necessary types of measurements are taken into account. Keywords: Higher derivative gravity, Light bending, Brans–Dicke theory, Non-local gravity, Scalar–tensor theories
first_indexed 2024-04-12T03:42:11Z
format Article
id doaj.art-891d5e096be544f3971859ecdeb1b2ed
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-04-12T03:42:11Z
publishDate 2018-05-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-891d5e096be544f3971859ecdeb1b2ed2022-12-22T03:49:15ZengElsevierPhysics Letters B0370-26932018-05-017805460Light bending in F[g(□)R] extended gravity theoriesBreno L. Giacchini0Ilya L. Shapiro1Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, 22290-180, Rio de Janeiro, RJ, Brazil; Corresponding author.Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário – Juiz de Fora, 36036-900, MG, Brazil; Tomsk State Pedagogical University, Tomsk, 634041, Russia; Tomsk State University, Tomsk, 634050, RussiaWe show that in the weak field limit the light deflection alone cannot distinguish between different R+F[g(□)R] models of gravity, where F and g are arbitrary functions. This does not imply, however, that in all these theories an observer will see the same deflection angle. Owed to the need to calibrate the Newton constant, the deflection angle may be model-dependent after all necessary types of measurements are taken into account. Keywords: Higher derivative gravity, Light bending, Brans–Dicke theory, Non-local gravity, Scalar–tensor theorieshttp://www.sciencedirect.com/science/article/pii/S0370269318301667
spellingShingle Breno L. Giacchini
Ilya L. Shapiro
Light bending in F[g(□)R] extended gravity theories
Physics Letters B
title Light bending in F[g(□)R] extended gravity theories
title_full Light bending in F[g(□)R] extended gravity theories
title_fullStr Light bending in F[g(□)R] extended gravity theories
title_full_unstemmed Light bending in F[g(□)R] extended gravity theories
title_short Light bending in F[g(□)R] extended gravity theories
title_sort light bending in f g □ r extended gravity theories
url http://www.sciencedirect.com/science/article/pii/S0370269318301667
work_keys_str_mv AT brenolgiacchini lightbendinginfgrextendedgravitytheories
AT ilyalshapiro lightbendinginfgrextendedgravitytheories