The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge

Details The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge

2010-04-12

arxiv.org/abs/1004.1973v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 10 figures

Scientific paper

A general analytic procedure is developed for the post-Newtonian limit of $f(R)$-gravity with metric approach in the Jordan frame by using the harmonic gauge condition. In a pure perturbative framework and by using the Green function method a general scheme of solutions up to $(v/c)^4$ order is shown. Considering the Taylor expansion of a generic function $f$ it is possible to parameterize the solutions by derivatives of $f$. At Newtonian order, $(v/c)^2$, all more important topics about the Gauss and Birkhoff theorem are discussed. The corrections to "standard" gravitational potential ($tt$-component of metric tensor) generated by an extended uniform mass ball-like source are calculated up to $(v/c)^4$ order. The corrections, Yukawa and oscillating-like, are found inside and outside the mass distribution. At last when the limit $f\rightarrow R$ is considered the $f(R)$-gravity converges in General Relativity at level of Lagrangian, field equations and their solutions.

Affiliated with

Also associated with

No associations

Rating

The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-263001