A Successful Model for Simulating Massive Gravity

Mary Gerhardinger, University of Pennsylvania

Photo of Mary Gerhardinger

While the theory of General Relativity has been extensively tested, it is not compatible with other theoretical models, like quantum mechanics. In the past decades, extensions to Einstein gravity have employed effective field theories as a successful formalism. The Galileon scalar model describing gravitational radiation is a prototypical example of such an effective field theory. While Galileons have analytically solvable equations of motion, the derivative nature of their interactions makes these models not well-posed which is highly problematic for numerical simulations. There have been some successful simulations of Galileons, however, they require the interactions to be slowly turned on. Here, we construct a (numerical) UV completion which controls the dynamics of the high frequency modes and successfully reproduces the low energy behavior of the Galileon, with no restrictions on the timing of the interactions.

Abstract Author(s): Mary Gerhardinger, John T. Giblin, Andrew J. Tolley, Mark Trodden