linearization the New Model of Mimetic bi-gravity

Abstract

This paper presents a novel integration of mimetic gravity and massive bi-gravity theories. Despite the success of general relativity (GR), explaining cosmic phenomena requires additional elements like dark matter and dark energy. Mimetic gravity extends GR’s degrees of freedom while respecting conformal symmetry, and bi-gravity introduces an additional metric field for massive gravity. We redefine the action for combining these theories and linearize it around a flat spacetime solution. Our analysis highlights the dynamical behavior and stability of the combined model, offering insights for further theoretical and empirical investigations. This work contributes to bridging GR with quantum field theories and exploring new directions in gravitational research.