Difference between special relativistic gravitational theory and general relativity: Weak field limit

1991 ◽  
Vol 30 (8) ◽  
pp. 1091-1096 ◽  
Author(s):  
Zhang Junhao ◽  
Chen Xiang
Keyword(s):  
General Relativity ◽  
Weak Field ◽  
Gravitational Theory ◽  
Field Limit ◽  
Weak Field Limit ◽  
Relativistic Gravitational Theory

scholarly journals ACTION BASED APPROACH TO THE DYNAMICS OF EXTENDED BODIES IN GENERAL RELATIVITY

2003 ◽  
Vol 12 (09) ◽  
pp. 1651-1655 ◽  
Author(s):  
JEEVA ANANDAN ◽  
NARESH DADHICH ◽  
PARAMPREET SINGH
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Equations Of Motion ◽  
Weak Field ◽  
Multipole Moments ◽  
Field Limit ◽  
Extended Body ◽  
Weak Field Limit ◽  
Extended Object ◽  
First Time

We present, for the first time, an action principle that gives the equations of motion of an extended body possessing multipole moments in an external gravitational field, in the weak field limit. From the action, the experimentally observable quantum phase shifts in the wavefunction of an extended object due to the coupling of its multipole moments with the gravitational field are obtained. Also, since the theory may be quantized using the action, the present approach is useful in the interface between general relativity and quantum mechanics.

scholarly journals Non-analytical power-law correction to the Einstein–Hilbert action: Gravitational wave propagation

2014 ◽  
Vol 29 (33) ◽  
pp. 1450178 ◽  
Author(s):  
D. Fiorucci ◽  
O. M. Lecian ◽  
G. Montani
Keyword(s):  
General Relativity ◽  
Wave Propagation ◽  
Taylor Expansion ◽  
Weak Field ◽  
Einstein Equations ◽  
Speed Of Light ◽  
Field Limit ◽  
Weak Field Limit ◽  
Analytical Power ◽  
Hilbert Action

We analyze the features of the Minkowskian limit of a particular non-analytical f(R) model, whose Taylor expansion in the weak-field limit does not hold, as far as gravitational waves (GWs) are concerned. We solve the corresponding Einstein equations and we find an explicit expression of the modified GWs as the sum of two terms, i.e. the standard one and a modified part. As a result, GWs in this model are not transverse, and their polarization is different from that of General Relativity. The velocity of the GW modified part depends crucially on the parameters characterizing the model, and it mostly results much smaller than the speed of light. Moreover, this investigation allows one to further test the viability of this particular f(R) gravity theory as far as interferometric observations of GWs are concerned.

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
Sign in / Sign up

Export Citation Format

Share Document