Recovery of general relativity in massive gravity via the Vainshtein mechanism

By E. Babichev, Cedric Deffayet, R. Ziour. 2010

136 citations recorded by the source corpus.

We study in detail static spherically symmetric solutions of nonlinear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of general relativity via the Vainshtein mechanism. This result has already been presented by us in a recent paper, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights into this problem, in particular, for what concerns the question of the number of solutions at infinity. We also present a weak-field limit which allows one to capture all the salient features of the numerical solution, including the Vainshtein crossover and the Yukawa decay.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/74279e4c912baab1d121c7fc73366644f8ec119d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Massive Gravity (2014, background): “[474, 105, 61, 409, 276, 160, 39, 38, 40] for other spherically symmetric solutions in massive gravity.”
Cosmological tests of modified gravity (2015, methodology): “[191, 192] found solutions featuring the Vainshtein mechanism in the complete theory in the framework of a non-linear extension of Fierz-Pauli massive gravity.”
Heavy spin-2 Dark Matter (2016, background): “It was conjectured in [34] (and confirmed explicitly much later [35–37], see also [38]) that the inclusion of nonlinear interactions for the spin-2 field cures this problem and that GR is restored in the limit of small graviton mass.”
Theoretical Aspects of Massive Gravity (2011, methodology): “Later, the problem was revisited with more sophisticated methods, both in the decoupling limit [87], and more extensively in the full theory [88, 89, 90], with the final result being that the non-linearities can in fact work to restore continuity with GR.”