scholarly journals Light deflection in the second post-Newtonian approximation of scalar-tensor theory of gravity

2007 ◽  
Vol 3 (S248) ◽  
pp. 401-402 ◽  
Author(s):  
P. Dong ◽  
W. T. Ni
Keyword(s):  
Equation Of Motion ◽  
Scalar Tensor Theory ◽  
Light Deflection ◽  
Intermediate Range ◽  
Deflection Of Light ◽  
Tensor Theory ◽  
Newtonian Approximation ◽  
Theory Of Gravity ◽  
Precision Astrometry

AbstractIn this paper, we use the metric coefficients and the equation of motion in the 2nd post-Newtonian approximation in scalar-tensor theory including intermediate range gravity to derive the deflection of light and compare it with previous works. These results will be useful for precision astrometry missions like Gaia, SIM, and LATOR (Laser Astrometric Test Of Relativity) which aim at astrometry with micro-arcsecond and nano-arcsecond accuracies and a need for the 2nd post-Newtonian framework and ephemeris to determine the stellar and spacecraft positions.

scholarly journals Constraints on scalar–tensor theory of gravity by solar system tests

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
P. A. González ◽  
Marco Olivares ◽  
Eleftherios Papantonopoulos ◽  
Yerko Vásquez
Keyword(s):  
Time Delay ◽  
Scalar Field ◽  
Solar System ◽  
Gravitational Redshift ◽  
Scalar Tensor Theory ◽  
Einstein Tensor ◽  
Perihelion Precession ◽  
Deflection Of Light ◽  
Tensor Theory ◽  
Theory Of Gravity

AbstractWe study the motion of particles in the background of a scalar–tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor. We constrain the value of the derivative parameter z through solar system tests. By considering the perihelion precession we obtain the constraint $$\sqrt{z}/m_{\mathrm{p}} > 2.6\times 10^{12}$$ z / m p > 2.6 × 10 12  m, the gravitational redshift $$\frac{\sqrt{z}}{m_{\mathrm{p}}}>2.7\times 10^{\,10}$$ z m p > 2.7 × 10 10  m, the deflection of light $$\sqrt{z}/m_{\mathrm{p}} > 1.6 \times 10^{11}$$ z / m p > 1.6 × 10 11  m, and the gravitational time delay $$\sqrt{z}/m_{\mathrm{p}} > 7.9 \times 10^{12}$$ z / m p > 7.9 × 10 12  m; thereby, our results show that it is possible to constrain the value of the z parameter in agreement with the observational tests that have been considered.

scholarly journals Second post-Newtonian approximation of scalar-tensor theory of gravity

2009 ◽  
Vol 43 (1) ◽  
pp. 171-180 ◽  
Author(s):  
Yi Xie ◽  
Wei-Tou Ni ◽  
Peng Dong ◽  
Tian-Yi Huang
Keyword(s):  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Newtonian Approximation ◽  
Theory Of Gravity

scholarly journals Field Independent Cosmic Evolution

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Nayem Sk ◽  
Abhik Kumar Sanyal
Keyword(s):  
Higher Order ◽  
Noether Symmetry ◽  
Scalar Tensor Theory ◽  
Anisotropic Model ◽  
Tachyonic Field ◽  
Tensor Theory ◽  
Cosmic Evolution ◽  
Field Independent ◽  
Conserved Current ◽  
Theory Of Gravity

It has been shown earlier that Noether symmetry does not admit a form of corresponding to an action in which is coupled to scalar-tensor theory of gravity or even for pure theory of gravity taking anisotropic model into account. Here, we prove that theory of gravity does not admit Noether symmetry even if it is coupled to tachyonic field and considering a gauge in addition. To handle such a theory, a general conserved current has been constructed under a condition which decouples higher-order curvature part from the field part. This condition, in principle, solves for the scale-factor independently. Thus, cosmological evolution remains independent of the form of the chosen field, whether it is a scalar or a tachyon.

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 Early universe with modified scalar-tensor theory of gravity

2018 ◽  
Vol 2018 (5) ◽  
Author(s):  
Ranajit Mandal ◽  
Chandramouli Sarkar ◽  
Abhik Kumar Sanyal
Keyword(s):  
Early Universe ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Theory Of Gravity

scholarly journals Torsional oscillations of neutron stars in scalar-tensor theory of gravity

2014 ◽  
Vol 90 (12) ◽  
Author(s):  
Hector O. Silva ◽  
Hajime Sotani ◽  
Emanuele Berti ◽  
Michael Horbatsch
Keyword(s):  
Neutron Stars ◽  
Scalar Tensor Theory ◽  
Torsional Oscillations ◽  
Tensor Theory ◽  
Theory Of Gravity
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