scholarly journals Parametrized post-Newtonian limit of fourth-order theories of gravity

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Timothy Clifton
Keyword(s):  
Fourth Order ◽  
Newtonian Limit ◽  
Theories Of Gravity

scholarly journals The Newtonian limit of fourth-order gravity

1986 ◽  
Vol 307 (5) ◽  
pp. 339-340 ◽  
Author(s):  
H.-J. Schmidt
Keyword(s):  
Fourth Order ◽  
Newtonian Limit

scholarly journals Existence of Einstein static universes and their stability in fourth-order theories of gravity

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Rituparno Goswami ◽  
Naureen Goheer ◽  
Peter K S Dunsby
Keyword(s):  
Fourth Order ◽  
Theories Of Gravity

scholarly journals The parameterized post-Newtonian limit of bimetric theories of gravity

2010 ◽  
Vol 27 (23) ◽  
pp. 235020 ◽  
Author(s):  
Timothy Clifton ◽  
Máximo Bañados ◽  
Constantinos Skordis
Keyword(s):  
Newtonian Limit ◽  
Theories Of Gravity

scholarly journals Constraining scalar-tensor gravity models by S2 star orbits around the galactic center

2019 ◽  
Vol 17 (1, spec.issue) ◽  
pp. 11-20
Author(s):  
Vesna Borka-Jovanovic ◽  
Predrag Jovanovic ◽  
Dusko Borka ◽  
Salvatore Capozziello ◽  
Stefania Gravina ◽  
...  
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Galactic Center ◽  
Newtonian Limit ◽  
Gravity Models ◽  
Kinematics And Dynamics ◽  
Supermassive Black Hole ◽  
Theories Of Gravity ◽  
Orbital Precession ◽  
Best Fit

The aim of our investigation is to derive a particular theory among the class of scalar-tensor(ST) theories of gravity, and then to test it by studying kinematics and dynamics of S-stars around a supermassive black hole (BH) at Galactic Center (GC). We also discuss the Newtonian limit of this class of ST theories of gravity, as well as its parameters. We compare the observed orbit of S2 star with our simulated orbit which we obtained theoretically with the derived ST potential and constrained parameters. Using the obtained best-fit parameters we calculated orbital precession of S2 star in ST gravity and found that it has the same direction as in General Relativity (GR) but causes much larger pericenter shift.

scholarly journals Virial theorem in scalar tensor fourth order gravity

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
A. Capolupo ◽  
G. Lambiase ◽  
A. Stabile ◽  
An. Stabile
Keyword(s):  
Dark Matter ◽  
Fourth Order ◽  
Virial Theorem ◽  
Large Fraction ◽  
Newtonian Limit ◽  
Specific Class ◽  
Rotation Curves ◽  
Viral Equilibrium

AbstractIn this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. $$f(R,\phi )+\omega (\phi )\,\phi _{;\alpha }\,\phi ^{;\alpha }$$ f ( R , ϕ ) + ω ( ϕ ) ϕ ; α ϕ ; α in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed.

scholarly journals CURVATURE QUINTESSENCE

2002 ◽  
Vol 11 (04) ◽  
pp. 483-491 ◽  
Author(s):  
SALVATORE CAPOZZIELLO
Keyword(s):  
Scalar Field ◽  
Fourth Order ◽  
Order Theory ◽  
Cosmic Acceleration ◽  
Accelerated Expansion ◽  
Conformal Transformations ◽  
Effective Pressure ◽  
Alternative Scheme ◽  
Theories Of Gravity ◽  
Jordan And Einstein Frames

The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the Ricci scalar of curvature of a generic fourth order theory and then ask for the conditions to get an accelerated expansion. Exact accelerated expanding solutions can be achieved for several fourth order theories so that we get an alternative scheme to the standard quintessence scalar field, minimally coupled to gravity, usually adopted. We discuss also conformal transformations in order to see the links of quintessence between the Jordan and Einstein frames.

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