Universal gravitational equations

Ferraris, Maurizio; Francaviglia, M.; Волович, И. В.

doi:10.1007/bf02741283

Cited by 56 publications

(142 citation statements)

References 15 publications

Supporting

Mentioning

138

Contrasting

Order By: Relevance

“…[40,41]). According to the Palatini formalism [14,15,16,17,18,19,20,21,42,43,44], from (1) we obtain the following equations of motion:…”

Section: Vacuum Exact Solution Of F (R)mentioning

confidence: 99%

“…Actually, it is possible to show [43,44] that the manifold M , which is the model of the space-time, can be a posteriori endowed with a bi-metric structure (M, g, h) equivalent to the original metric-affine structure (M, g, Γ), where Γ is assumed to be the Levi-Civita connection of h. The two metrics are conformally related by…”

Section: Vacuum Exact Solution Of F (R)mentioning

confidence: 99%

See 1 more Smart Citation

Solar System planetary orbital motions andf(R) theories of gravity

Ruggiero

Iorio

2007

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

In this paper we study the effects of f (R) Theories of Gravity on Solar System gravitational tests. In particular, starting from an exact solution of the field equation in vacuum, in the Palatini formalism, we work out the effects that the modifications to the Newtonian potential would induce on the Keplerian orbital elements of the Solar System planets, and compare them with the latest results in planetary orbit determination from the EPM2004 ephemerides. It turns out that the longitudes of perihelia and the mean longitudes are affected by secular precessions. We obtain the resulting best estimate of the parameter k which, being simply related to the scalar curvature, measures the non linearity of the gravitational theory. We use our results to constrain the cosmological constant and show how f (R) functions can be constrained, in principle. What we obtain suggests that, in agreement with other recent papers, the Solar System experiments are not effective to set such constraints, if compared to the cosmologically relevant values.

show abstract

“…[40,41]). According to the Palatini formalism [14,15,16,17,18,19,20,21,42,43,44], from (1) we obtain the following equations of motion:…”

Section: Vacuum Exact Solution Of F (R)mentioning

confidence: 99%

Section: Vacuum Exact Solution Of F (R)mentioning

confidence: 99%

Solar System planetary orbital motions andf(R) theories of gravity

Ruggiero

Iorio

2007

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

show abstract

“…Though a realistic universe expansion history may be reconstructed from these models [7,8], they seem to be ruled out as alternatives to dark energy because of their consequences to the Solar system physics [9,10,11], see however [12]. If the connection Γ is promoted to an independent variable, the action (1) represents the f (R) models in the so called Palatini formalism [13,14,15,16,17,18], which instead appear to pass the Solar system tests [19]. The viability of the small-scale limit of these Palatini-f (R) models has been an issue of debate [20,21].…”

Section: Introductionmentioning

confidence: 99%

Viable Palatini-f(R)cosmologies with generalized dark matter

Koivisto

2007

Phys. Rev. D

113

View full text Add to dashboard Cite

We study the formation of large-scale structure in universes dominated by dark matter and driven to accelerated expansion by f(R) gravity in the Palatini formalism. If the dark matter is cold, practically all of these models are ruled out because they fail to reproduce the observed matter power spectrum. We point out that if the assumption that dark matter is perfect and pressureless at all scales is relaxed, nontrivial alternatives to a cosmological constant become viable within this class of modified gravity models.

show abstract

“…[12,13], we showed the universality of the Einstein equation using a cosmological constant. More recently, Ferraris, Francaviglia and Volovich published the same result [14,15]. For these theories we have studied the conserved quantities [16], the spherically symmetric solutions [17], the Newtonian limit [12,18], and the cosmology described by Friedmann-Robertson-Walker (FRW) metric [19].…”

Section: Introductionmentioning

confidence: 99%

Newtonian limit of the singularf(R)gravity in the Palatini formalism

Domínguez

Barraco

2004

Phys. Rev. D

View full text Add to dashboard Cite

Recently D. Vollick [Phys. Rev. D68, 063510 (2003)] has shown that the inclusion of the 1/R curvature terms in the gravitational action and the use of the Palatini formalism offer an alternative explanation for cosmological acceleration. In this work we show not only that this model of Vollick does not have a good Newtonian limit, but also that any f (R) theory with a pole of order n in R = 0 and (d 2 f /d 2 R)(R 0 ) = 0, where R 0 is the scalar curvature of background, does not have a good Newtonian limit. PACS number(s):

show abstract

Universal gravitational equations

Cited by 56 publications

References 15 publications

Solar System planetary orbital motions andf(R) theories of gravity

Solar System planetary orbital motions andf(R) theories of gravity

Viable Palatini-f(R)cosmologies with generalized dark matter

Newtonian limit of the singularf(R)gravity in the Palatini formalism

Contact Info

Product

Resources

About