Einstein Gravity, Massive Gravity, Multi-Gravity and Nonlinear Realizations

Understand

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity.

• We revisit the study of massive gravity as a Higgs phase.
• Absent a compelling microphysical model of spontaneous symmetry breaking in gravity, we approach this problem from the viewpoint of nonlinear realizations.
• We employ the coset construction to search for the most restrictive symmetry breaking pattern whose low energy theory will both admit the de Rham-Gabadadze-Tolley (dRGT) potentials and nonlinearly realize every symmetry of General Relativity, thereby providing a new perspective from which to build theories of massive gravity.