Short distance non-perturbative effects of large distance modified gravity

Abstract

In a model of large distance modified gravity we compare the nonperturbative Schwarzschild solution of hep-th/0407049 to approximate solutions obtained previously. In the regions where there is a good qualitative agreement between the two, the nonperturbative solution yields effects that could have observational significance. These effects reduce, by a factor of a few, the predictions for the additional precession of the orbits in the Solar system, still rendering them in an observationally interesting range. The very same effects lead to a mild anomalous scaling of the additional scale-invariant precession rate found by Lue and Starkman.

Charged black holes on DGP brane

“…In the regular branch solution, there appeared the screened mass effect in the Schwarzschild case [14,21]. The same effect appears here, too.…”

“…Now, we consider a general solution satisfying the Hamiltonian constraint equation with the metric ansatz (21). With the energy-momentum tensor (26) and the metric ansatz, the Hamiltonian constraint (22) can be expressed as…”

“…Finally, using the relation r = r 0 e z , we can reexpress (38) and (39) in terms of r as follows [21],…”

“…We can easily see the following asymptotic behavior by consulting the result of [21]. At large distances, r ≫ r * (U → 0 + ), (41) is approximated as…”

Charged Rotating Black Holes on DGP Brane

“…This corresponds to the solution for the U(r) = −2 case in Ref. [15], and belongs to the accelerated branch of Kerr-de Sitter type solution [21,22].…”