Gravity seminar - Kazuya Koyama Seminar

Massive gravity is an interesting theoretical laboratory to study modifications of General Relativity. The theory offers a concrete set-up to study models of dark energy since it admits cosmological self-accelerating solutions in the vacuum, in which the size of the acceleration depends on the graviton mass. Moreover, non-linear gravitational self-interactions mimic the predictions of linearised General Relativity in the proximity of a matter source, agreeing with precise solar-system measurements. In this talk, I review our work in the subject, classifying static solutions and self-accelerating backgrounds. For static solutions, we exhibit black hole configurations, together with other solutions that recover General Relativity near a source via the Vainshtein mechanism. For the self-accelerating solutions we describe a wide class of cosmological backgrounds, including an analysis of their stability.