scholarly journals The post-Newtonian limit of hybrid f(R)-gravity

2018 ◽  
Vol 191 ◽  
pp. 07009 ◽  
Author(s):  
Polina Dyadina ◽  
Sofya Labazova
Keyword(s):  
Solar System ◽  
Weak Field ◽  
Newtonian Limit ◽  
Field Limit ◽  
Weak Field Limit

The post-Newtonian formalism is developed for hybrid f(R)-gravity. The model is tested in the weak field regime of the Solar System. Using scalartensor representation of hybrid f(R)-gravity we impose restrictions on the parameters of the theory and show that hybrid f(R)-gravity is not ruled out by the observations in the weak field limit.

scholarly journals Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

Universe ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 34 ◽  
Author(s):  
Gabriel Farrugia ◽  
Jackson Levi Said ◽  
Andrew Finch
Keyword(s):  
Solar System ◽  
Teleparallel Gravity ◽  
Weak Field ◽  
Observational Constraints ◽  
Field Limit ◽  
Potential Models ◽  
Weak Field Limit ◽  
Rotating Systems ◽  
Theories Of Gravity ◽  
Analogous Effect

Gravitomagnetism characterizes phenomena in the weak-field limit within the context of rotating systems. These are mainly manifested in the geodetic and Lense-Thirring effects. The geodetic effect describes the precession of the spin of a gyroscope in orbit about a massive static central object, while the Lense-Thirring effect expresses the analogous effect for the precession of the orbit about a rotating source. In this work, we explore these effects in the framework of Teleparallel Gravity and investigate how these effects may impact recent and future missions. We find that teleparallel theories of gravity may have an important impact on these effects which may constrain potential models within these theories.

scholarly journals Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity

2014 ◽  
Vol 11 (10) ◽  
pp. 1450082 ◽  
Author(s):  
Mariafelicia De Laurentis ◽  
Antonio Jesus Lopez-Revelles
Keyword(s):  
General Solution ◽  
Analytic Functions ◽  
Green's Functions ◽  
Green’S Functions ◽  
Weak Field ◽  
Ricci Scalar ◽  
Newtonian Limit ◽  
Field Limit ◽  
Weak Field Limit ◽  
Special Cases

We discuss in detail the weak field limit of f(R, 𝒢) gravity taking into account analytic functions of the Ricci scalar R and the Gauss–Bonnet invariant 𝒢. Specifically, we develop, in metric formalism, the Newtonian, Post-Newtonian (PN) and Parametrized Post-Newtonian (PPN) limits starting from general f(R, 𝒢) Lagrangian. The special cases of f(R) and f(𝒢) gravities are considered. In the case of the Newtonian limit of f(R, 𝒢) gravity, a general solution in terms of Green's functions is achieved.

scholarly journals A GENERAL SOLUTION IN THE NEWTONIAN LIMIT OF f(R)-GRAVITY

2009 ◽  
Vol 24 (09) ◽  
pp. 659-665 ◽  
Author(s):  
S. CAPOZZIELLO ◽  
A. STABILE ◽  
A. TROISI
Keyword(s):  
General Solution ◽  
Gravity Model ◽  
General Result ◽  
Weak Field ◽  
Newtonian Limit ◽  
Newtonian Potential ◽  
Field Limit ◽  
Weak Field Limit ◽  
Theories Of Gravity ◽  
Physical Consequences

We show that any analytic f(R)-gravity model, in the metric approach, presents a weak field limit where the standard Newtonian potential is corrected by a Yukawa-like term. This general result has never been pointed out but often derived for some particular theories. This means that only f(R) = R allows to recover the standard Newton potential while this is not the case for other relativistic theories of gravity. Some considerations on the physical consequences of such a general solution are addressed.

GALACTIC AND ASTROPHYSICAL SIZES FROM SCALAR-TENSOR THEORY OF GRAVITY

2004 ◽  
Vol 13 (02) ◽  
pp. 359-371 ◽  
Author(s):  
GIUSEPPE BASINI ◽  
MARCO RICCI ◽  
FULVIO BONGIORNO ◽  
SALVATORE CAPOZZIELLO
Keyword(s):  
Scalar Field ◽  
Spiral Galaxies ◽  
Weak Field ◽  
Newtonian Potential ◽  
Scalar Tensor Theory ◽  
Field Limit ◽  
Weak Field Limit ◽  
Tensor Theory ◽  
Flat Rotation Curves ◽  
Theory Of Gravity

We investigate the weak-field limit of scalar-tensor theory of gravity and show that results are directly depending on the coupling and self-interaction potential of the scalar field. In particular, corrections are derived for the Newtonian potential. We discuss astrophysical applications of the results, in particular the flat rotation curves of spiral galaxies.

scholarly journals Quantum Faraday Effect in the Universe

2017 ◽  
Vol 45 ◽  
pp. 1760046
Author(s):  
Lídice Cruz Rodríguez ◽  
Aurora Pérez Martínez ◽  
Gabriella Piccinelli ◽  
Elizabeth Rodríguez Querts
Keyword(s):  
Faraday Effect ◽  
Weak Field ◽  
Field Limit ◽  
Self Energy ◽  
Weak Field Limit ◽  
Resonant Behavior ◽  
Degenerate Regime ◽  
The Universe ◽  
Resonant Mechanism ◽  
Recombination Epoch

We study the Quantum Faraday rotation starting from the photon self-energy in the presence of a constant magnetic field. The Faraday angle is calculated in the non-degenerate regime and for weak field limit. Two physical scenarios, possibly characterized by these conditions, are the recombination epoch and the jets originated in pulsars. We discuss the resonant behavior that the Faraday angle exhibits in these scenarios and investigate the possibility of detecting cosmic magnetic fields through this resonant mechanism.

Weak-field limit

2010 ◽  
pp. 165-208
Author(s):  
Salvatore Capozziello ◽  
Valerio Faraoni
Keyword(s):  
Weak Field ◽  
Field Limit ◽  
Weak Field Limit

scholarly journals Jeans instability in non-minimal matter-curvature coupling gravity

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Cláudio Gomes
Keyword(s):  
Boltzmann Equation ◽  
Dispersion Relation ◽  
Weak Field ◽  
Model Parameters ◽  
Field Limit ◽  
Modified Dispersion Relation ◽  
Weak Field Limit ◽  
Special Cases ◽  
Jeans Instability ◽  
Scalar Potentials

Abstract The weak field limit of the nonminimally coupled Boltzmann equation is studied, and relations between the invariant Bardeen scalar potentials are derived. The Jean’s criterion for instabilities is found through the modified dispersion relation. Special cases are scrutinised and considerations on the model parameters are discussed for Bok globules.

scholarly journals Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Özgür Akarsu ◽  
Alexey Chopovsky ◽  
Valerii Shulga ◽  
Ezgi Yalçınkaya ◽  
Alexander Zhuk
Keyword(s):  
Weak Field ◽  
Observational Constraints ◽  
Field Limit ◽  
Weak Field Limit ◽  
Higher Dimensional
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